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Concrete is very common material used in reinforced concrete structure. There are several behaviors that influence its performance to the structure since its nonlinear behavior (Nawy, 1998). Nonlinear concrete behavior, besides can be obtained by experimental test result in laboratory, also can be conducted with one of the numerical simulation approach, namely finite element method. Based on the case, it will be conducted numerical modeling of concrete material with input the nonlinearity and orthotropic of concrete. Load-displacement response of concrete without reinforcement at small loading tends to linear then will be nonlinear when enters the cracking zone. Möhr and Kupfer failure criteria are used to evaluate the failure in concrete beam. Validation is a step conducted to view the validity from numerical study result that will be used as tools. Data resulted from experimental and numerical study is validated with research of Purkiss-Blagojevic (1993). This FEM program can be used as tools to analyze load-displacement response of concrete beam test specimen without reinforcement and predict the initial crack pattern happened.
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Our diaper cakes feature more than diapers and cardstock! Lindi's Boutique Diaper Cakes are packed with baby items the new mommy can USE and take home for baby!!!!
Our superhero theme diaper cake is sure to please and makes a gorgeous baby shower table centerpiece as well as gift. Color pattern is a blending of yellows, reds, and blues with a light beige accent. A full list of ingredients are provided below.
***** Cake measures approximately 17" tall prior to fluffing the tulle. For additional height, we always recommend using a glass or crystal cake plate for baby shower centerpiece display, if additional height is preferred.
Diaper Cake Ingredients:
~ 67 Pampers Size 1 Diapers
~ 3 Boutique fabric covered burp cloths (exact fabrics may vary from the photos but overall colors and themes will be the same)
~ 1 Hand crochet baby hat
~ 1 Pair of hand crochet baby shoes
~ 2 Pairs of baby socks
~ 2 Baby onesies
~ 8 baby washcloths
~ 2 Baby spoons
Prior to shipping, the cake will be wrapped in tulle and tied with ribbons and bows. Cake will feature an "Ingredient" card. Please be sure to provide your email address and telephone number for shipping updates.
GIFT? - Please be sure to leave us a note under notes to seller on the purchase if you are shipping this cake directly to the recipient with your sentiments so we can include a gift note.
Our boutique diaper cakes ship via USPS Ground Services which typically takes 2-9 business days depending upon location. If you need expedited shipping, please email us for a price quote based upon the shipping address.

subset: commoncrawl


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Blog Archives
PSN Network: 5/15/11: PSN NETWORK IS BACK UP!
PSN Network is finally back up after a month of no online gaming or online services.
PSN Network is finally back up! After a month gamers around the world were waiting for this moment. Planned to open up on the 31st, Sony had maybe fixed the problem earlier and was able to open the PSN Network, live and running. I haven't really tried it out yet but Sony claims that they had opened back PSN Network. PSN Network might be opened up but some things have been limited to gamers across the United States. The new update has also required for you to change your password. In addition to online gameplay, the update brings back video rental playback, Music Unlimited on Qriocity, Netflix/Hulu access, Friends Lists, chat, Trophy comparison and PlayStation Home.
It's like finally the PSN Network is back up. Network services have opened up so Black Ops for sure will be available online as of today. Though if you had any important personal information on the PSN Network, giving it the most complex password won't do any good if the network service are hacked again.
After all many people did stick with the PSN Network even though the hack had made some big holes in our security. Still the Playstation Network probably had the best services for it's players and also many other things.
Don't forget Sony made a promise to give 1 month free for Playstation Plus services and other things. I wonder if they will keep their promise in this time. Now I can finally play some video games and I can also watch my Netflix stuff. It's been almost forever since I had played my PS3. Still It's kinda weird that the Playstation Network is what people usually want. I mean after all most people stopped playing just because the PSN Network was down. Still, who did it?
Playstation Network down for the 12th day!
Well if you haven't heard of this. Playstation Network was shut down on April 20th. Gamers who thought this problem of maintenance who be fixed in a few hours, turned off their systems and went to do something else. Turns out this 'maintenance' turned out to be 13 days for these gamers. Sony has recently said that they will open back online tomorrow the 3rd of May. Well that's the basic live story from Sony, but if we go back to see what happened we can see why.
Sony was hacked several days before the initial day that the news was spread around. When they were hacked. The hacker seemed to have get credit card information of 70 million people. The hacker was able to get personal information from PSN accounts, passwords, and also credit card numbers and other processing information from the cards. This was a hole in Sony's wall. Millions of people were suing Sony like crazy. Sony had lost a lot of money and in further due, they had completely shut down the Playstation Network to prevent any other issues. Although gamers and other people were very disappointed, Sony had a job to do. They had to find out who did this and then grab the information back from them.
Sony had lost a lot of it's reviews on security and now barely any people trust the company. Sony tried to persuade people that the problem would be fixed, but I really don't think that worked. To save their butts Sony had sent out news saying that all their info. on the users were encrypted so that the hacker (or unauthorized person) would be unable to view the information. Really Sony? Did you have to make up such an awful lie? Now people hate you even more. Nice going. Such an awful lie, wow.
Sony had said to improve their firewall and security from hackers by trying to keep higher surveillance and have programs to check the Playstation Network. With this I guess people could be convinced. Just hope that the programs aren't going to be hacked. Sony has said to open back the Playstation Network up tomorrow so, for all you gamers and addicts. Tomorrow should be a party at your house for you Call of Duty: Black Ops. But remember when the Playstation Network opens back up tomorrow, don't forget that you should change your password immediately!
Don't take the word that it will certainly open back up tomorrow. With a big breach like this it may take a while for Sony to open back the PSN up. If it still doesn't work then Sony has found another problem or another idea etc. After this big of a hack the date of when it will open back up can't be confirmed for sure. I'm a big PSN fan, so I will also being await for this information. I'll update this article if the PSN opens back up, so stay tuned.


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plastic molding company
Plastic molds are popular In the world, almost everything that needs molds & molding parts, develop a new project you will need a quality custom plastic mould & moulding company. SINCERE TECH is here to solve your problems, we have professional mould designers & mould makers to offer you the best quality and service, we use Europe & American standard components for all of our export molds, we do not only save your cost in mold making and lead time, but also excellent service & high-quality molds as same as Europe & American. Contact us NOW, we will offer your price within 24 hours.
plastic molding company, plastic injection molded parts, plastic mold, plastic molding, plastic molded parts


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Notyourmom, 31 y.o. from Oslo, Norway
About: I am Notyourmom, 31 from Oslo, Norway. Funny (according to myself), spontaneous, generous and down to earth girl who loves to travel! 30 years old, Swedish but lives in Oslo, Norway. Im a clown.. I love to laugh. I eat all the time. Love wining and dining on nice restaurants with a nice outfit and with good company, thats pretty much what I do on my free time. Love to party as much as I love to just chill out at home. Looking for someone who have a great sense of humor that can show me/show you great places around the world. :) Love the Caribbean, USA and Asia the most when it comes to travel.


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The law, in its majestic equality, forbids the rich as well as the poor to sleep under bridges, to beg in the streets, and to steal bread. ~ Anatole France Rights, like laws are determined by the powerful to address problems they face or allow actions they prefer and apply "equally" to all. These also happen […]Read More
Dear media, India is witnessing an unprecedented event. It is the largest election to date in the world. We have them every five years, but our population has grown since our own previous record. So has the reach of mass media and social media and mobile phones. Recent developments in the country have raised the […]Read More
News Laundry published an aggressive, confrontational letter to the woman allegedly assaulted by Tarun Tejpal. Pandemonium ensued. Having written extensively about the other side of media reporting on the Tejpal case, I want to put my views on record, mostly to prevent defending them over and over in 140 letter tweets. Is it right to […]Read More
Considering today's Supreme Court verdict on Section 377 that criminalizes "carnal acts against the order of nature", there is a lot of confusion on what exactly is allowed and what is not. Here is a quick primer: You can still marry kids, as long as they are not of the same sex. Marital rape continues […]Read More
Wise man, director of CBI Ranjit Sinha explained why betting must be legalized with this gem "If you can't prevent rape, enjoy it". Now, this is problematic on several levels. The most obvious one being the idea that rape can be enjoyed. The misogynist myth that women choose to make a fuss about rape rather […]Read More


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Hemp CBD vs Cannabis CBD: What's the Distinction?
What exactly is CBD?
Recently, we're seeing more and more research and tales into the news about just what CBD may do to profit wellness, life style and disease. However it is still a product that is generally shrouded in secret and misconceptions.Lees verder


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Host George Murphy introduces people in estern New England who are getting the word out, including Joan Grenier, owner of the Odyssey Book Store in South Hadley MA. (www.odysseybks.com)
Making It Here
Making It Here is a television series from WGBY that celebrates an aspect of life that almost all people share: most of us go to work each day. And many people are passionate about that work and what they do. Our programs will chronicle the energy, the struggles, the accomplishments and the personalities that make our work so important to us.
Latest Episodes
George Murphy introduces some people whose skilled hands have made them a success in life.
George and the Making It Here crew set out in search of some Yankee ingenuity
George & the Making It Here crew are on the history trail
Take a trip down memory line with visits to nostalgic New England spots.
We will get a lesson in granite from the owner of ASN Natural Stone of Chicopee. (www.asnstone.com) and introduce you to Peter Laird, Co-Creator of the Teenage Mutant Ninja Turtles of Mirage Studios in Northampton (www.miragelicensing.com). Host George Murphy visits the world famous Millies Pierogi's in Chicopee. (www.milliespierogi.com)


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Featuring HAMILTON the Magical Stage Hypnotist
Perhaps you have used poke root? According to study, poke root is available to be extremely effective for cleaning lymph in body. Today, poke root can be one of the common ingredients useful for the preparation of bloodstream cleansing products. Burdock root is an excellent example of an all natural treatment that expels poisons from body. Anti-oxidants within burdock root enhance the creation of enzymes in liver normally. Therefore improves the bloodstream purification procedure in body. Echinacea is definitely another great get rid of suggested to alleviate the chance of toxin accumulation in body. It is possible to recommend Echinacea to people under all age ranges. Continue reading
Cleaning is the first step, and a cleanser ought to be chosen by you designed for your skin type. Next is by using a toner, which will shrink pores and gets rid of any cleanser staying on your face. The 3rd step can be to moisturize, but make sure to seal in the moisture, apply it prior to the toner is totally dry. If you actually want to have healthy skin, you need to together give up smoking all. If you continue steadily to smoke, the smoke from your own cigarette shall dry your lips and finally your skin. Research also implies that smoking will make your skin layer look older and age group eventually. If you are concerned about your skin layer looking damaged, you then should guard yourself from the sun's dangerous rays by wearing sunlight screen every day. Continue reading
Poulose said the analysis provides further evidence to consume foods abundant with polyphenolics. Those colors result from pigments termed anthocyanins that are great antioxidants. He emphasized the need for consuming the complete fruit, which provides the complete range of a huge selection of healthful chemical substances. Frozen berries, which can be found year round, are excellent resources of polyphenolics also, he added.. Berries help aging human brain stay healthy Scientists today reported the first evidence that taking in blueberries, strawberries, and the acai berry will help the aging brain remain healthy in an essential but previously unrecognized method. Continue reading
The adoption of biomarkers as a crucial research device in pre-clinical and scientific studies is growing quickly in China, and our capability to provide local, regional usage of the verified Aushon multiplex technology system will be vital. We also anticipate offering the same unrivaled support and support to your clients that Aushon has generated its reputation on. .. Aushon, LightArray enter strategic partnership to supply multiplex biomarker products in China Aushon BioSystems, Inc., a respected company of multiplex immunoassay products for biomarker discovery, development and evaluation announced through the ChinaTrials 2010 Summit in Beijing, China, that it provides entered right into a partnership with LightArray Biotech Organization, Ltd., to supply Aushon's extensive suite of multiplex biomarker services and products to pharmaceutical, biotechnical, and academic research institutions situated in mainland China. Continue reading
We are very delighted that BioMed Central's content can now end up being visualized using AuthorMapper, stated Matthew Cockerill, Controlling Director, BioMed Central. This tool will help researchers, funders, librarians and policymakers in identifying essential scientific trends and analysis patterns. The inclusion of BioMed Central's articles can help you demonstrate the spread of open up gain access to publishing both geographically and across disciplines. In the mean time, SpringerExemplar.com has an extremely useful method to start to see the context where different keywords are used within the entire text message of BioMed Central's content articles. .. BioMed collaborates with AuthorMapper to include publishing metadata BioMed Central, the world's largest open up access publisher with more than 200 peer-reviewed journals, offers teamed up with AuthorMapper.springerExemplar and com.com to include data because of its 60,000+ published content to both systems. Continue reading
Patients with rare disease typically seek a medical diagnosis for 8-12 years, receiving 3-5 split tests at a higher cost. The sequential testing approach could be replaced by a single test now. The Claritas approach takes advantage of a forward thinking dual-capture, dual-platform technique that immediately confirms more than 90 percent of all genetic variants in the exome, facilitating rapid analysis, interpretation, and come back of clinically-relevant outcomes. The Claritas Clinical Exome encompasses around 97 percent of the entire exonic coding region of the genome at >20X coverage by the Illumina NextSeqTM and instant confirmation on the Life Ion ProtonTM Platform. Continue reading
The condition is nearly always fatal. Health Brain-eating amoeba episodes Texas teen A 14-year-previous Houston boy was fighting for his life after contracting the frequently deadly brain-consuming amoeba while swimming. KHOU's Alice Barr repo. Doctors treating Riley obtained the drug, miltefosine, which is generally used to treat another parasitic disease within the tropics called leishmaniasis. Researchers discovered that it also showed promise in the laboratory for treating other free-living amoeba infections, including those due to Naegleria fowleri. Continue reading
In the past, health insurance programs routinely dropped an employee's dependents once they had been 19 or at 22 if indeed they were full-time learners .S. Supreme Courtroom will declare Obama's Affordable Care Act unconstitutional when it guidelines, by the end of the month possibly. They state the work many red states have been quietly carrying out to comply with the law in case they drop in the Supreme Courtroom could be repurposed to create state-structured reforms on a far more conservative model. But lawmakers in conservative says could still see a chance to address some complications and lay out a marker for eventual broader reforms requiring federal action . Continue reading
BIDMC: Physicians have to create healthy length between work, house online identities With ubiquitous social press sites like Twitter and Facebook blurring personal and professional lines, there can be an increasing dependence on physicians to make a healthy distance between their function and home online identities, two Beth Israel Deaconess INFIRMARY doctors assert malegra 100 . Composing for the history of Internal Medicine's April 19 Ideas and Views section, doctors Arash Mostaghimi, MD, Bradley and MPA H. Crotty, MD contact attention to the difficulties created by the extended use of Internet equipment by physicians to attain patients at work, while concurrently using the same tools to talk to family and friends within their personal lives. Continue reading
In a field study, participants were asked to serve red-sauce or white-sauce pasta on the large white or a big red plate. On normal, changing the colour of the plate so it was high contrast reduced just how much people offered by 21 %, and changing the color of the tablecloth reduced how much people offered by 10 %. The scholarly research reinforces the little-known Delboeuf illusion, where people believe the size of a circle is much smaller when encircled by a big circle when compared to a small one. Likewise, when serving onto a little plate, the meal looks relatively bigger than it actually is, which leads visitors to underserve. Continue reading


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Blonde Bear
Our blonde ale is a smooth, balanced, bear hug of a session beer. The bready, lightly caramel malt complements the premium variety of whole hops used, and with a light body, makes this a satisfying, authentic and moreish blonde, with hints of tropical fruit balanced with earthiness.
9 Gallon Cask
18 Gallon Cask
Malty Python
Malty Python is our modern take on an English classic, we selected the finest quality malts and balanced their sweetness with some bite from the best quality whole hops. With a hint of caramel and aroma of hedgerow fruits this is a smooth drink to quench the thirst throughout the year.
Sleepy Badger
A classic British-style stout brewed with flaked oatmeal, chocolate malt, crystal malt and roasted barley. The richness of the grain blend is balanced by the nutty/smokey character of the roasted malt, the creaminess from the oatmeal flakes and a dose of whole hops. With a light/medium body and dry finish this is our premium dark session ale.
9 Gallon Cask
White Wolf
Critters White Wolf American Pale Ale. Brewed with Amarillo, Centennial and Mosaic it packs a citrus punch. With dry hopped Simcoe added to the mix this brew is bursting with tropical flavour.
9 Gallon Cask
CAMRA Champion Beer of Yorkshire 2017 – Bronze Medal
CAMRA Strong Bitter 2017
– Gold Medal
C Monster
Our C Monster citrus IPA is made with the best quality American C hops, with lime leaves and fresh citrus peel added during fermentation, making this beast of an IPA as refreshing as an ocean dip on a hot day.
9 Gallon Cask
500ml Bottle
30L KeyKeg
5L Mini Keg
CAMRA Champion Beer of Sheffield 2016– Silver Medal Winner
King Crow
An intensely smooth Imperial Stout, blended with fresh, Fairtrade, espresso coffee, ethically sourced by Kelham Island's The Grind Café.
9 Gallon Cask
500ml Bottle
5L Mini Keg
Nutty Ambassador
Our super tasty Hazelnut Milk Stout. With hazelnut aromatics, coffee and chocolate notes this is a great marriage of flavours. Unfiltered to retain the luscious taste this product contains lactose (milk sugar) and oats which combine to give a slightly sweet but smooth body.
9 Gallon Cask
500ml Bottle
30L KeyKeg
5L Mini Keg
CAMRA Champion Beer of Sheffield 2018 Overall winner – Gold Medal
CAMRA Champion Beer of Yorkshire 2018 Speciality – Gold Medal
CAMRA Most Popular Beer of the Festival – Calderdale Beer and Cider Festival 2018
Little Hopper
Pale golden in colour with a delicate herbal and floral aromatics. Fruity and light bready malt flavours complement the medium-dry, refreshing finish. With low bitterness and great drinkability this is Critters take on session ale.
9 Gallon Cask
Specials – Sultanas of Swing
Initially rolled out and developed under Incubator Series 3. We use cacao nibs and plump raisins to complement the dark malts used in the mash. With an initial rich roasted chocolate taste the raisins provide a distinctive fruity finish to cut through this full bodied yet smooth stout.
9 Gallon Cask
30L KeyKeg
5L Mini Keg
Specials – Ruby Brewser
Our special for England rugby events. Ruby in colour the malt background and spicy aroma make this a great beer for the cooler months – looking forward to the World Cup in September followed by the Six Nations in February.
9 Gallon Cask
Specials – Raspberry Blonde
Our spring and summer special. Taking the lead from our Blonde Bear ale this is a smooth, balanced, fruity session beer. The bready, lightly caramel malt complements the premium variety of whole hops used, and with a light body, makes this a satisfying, authentic and moreish blonde. Having hints of raspberry this is a perfect drink for the warm weather to come – here's hoping!
Our super tasty Coconut Stout. With coconut aromatics, coffee and chocolate notes this is the latest addition to the Critters stout range.
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Wood Wall Mirror With Geometric Wire
- Collection: Bungalow Basics
Keep yourself and your room looking good with Wood Wall Mirror With Geometric Wire! This square mirror with a sturdy MDF frame features a gold-painted metal wire pattern on its surface, making it fit in well with antique decor. Hang up in your bedroom or living room as an eye-catching decorative accent!
- Length: 15"
- Width: 15"
- Thickness: 1"
- Length: 13"
- Width: 13"
Hanging Hardware: 2 - D-Rings (13 3/4" Apart From Center To Center)
Item not available in Hobby Lobby Stores.
Check your local store for availability.
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You are here: start » activities » content » highlights » spfairdice
- Students are placed into small groups and given a die. The group's task is to determine if the die is fair or "loaded".
- Fairness of the die will be experimentally determined by calculating the probability of rolling each number on the die.
- Groups will have the opportunity to use multiple representations to present experimental data.


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used iron ore mining machine sale,US Mines to Market - National Mining AssociationSep 9, 2014 . and may not be used, by any other person or for any other purpose, .. 7 Top U.S. mines (2013) – Iron ore. 22 .. after-sales service required.used iron ore mining machine sale,used iron ore mining machine sale,Iron Ore in 1998 - USGS Mineral Resources ProgramScrap is used as a supplement in steelmaking but is limited as . In 1998, 10 mines produced ore for the iron .. The Indian Government was planning to sell as.Iron - Department of EnergyNine mines operated by five companies accounted for 99 percent of .. other raw materials used in the individual iron or steel producer's process. ... b Calculated at $0.535 per gallon: average prices for sales to end-users in U.S. Petroleum.
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This fact sheet explains when purchases by the mines are subject to tax. . or loading for shipment means the last process that changes the form, iron con- . Materials that are used (or consumed) to produce a product for sale at retail are.
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With sales and service operations in mining regions worldwide, and a vast . most rigorous demands in your iron ore mining applications, including gear drives, .. Since the first conveyor belt was used to transport iron ore, Rexnord has been.
Dec 31, 2015 . high of 46% and cash used to repay debt is broadly equal to cash ... This is evident from an examination of assets held for sale, disclosed on . Iron ore. Diversi- fied. 31 Dec. 2014. Coal Copper Gold. Rare earth. Other 31.
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for a mine: the location of the mine and the cost of producing iron-ore at the mine. The …rst factor .. the iron-ore used to produce a ton of steel amounts to only about 10 percent of the steel's .. intra-company and market sales. Iron-ore prices.
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raw material for Iron & Steel Industry, is arguably of .. The mine-head closing stocks of iron ore for year. 2014-15 were 129 .. The iron ore is used mainly in blast furnaces, mini- .. accounted for 91% of total production for sale of pig iron.
Exploration for Iron Ore in the Lake Superior District. By. Ralph S. Archibald . .. marketing expense, royalty, and receipts, from sale of ore on shipments. .. The ore is a soft hematite and the method of mining used is sub- level caving by top.
underground mine to supply iron ore to blast furnace at Oswego. . Hodge, Edwin T. - Available raw materials for a Pacifio Coast iron industry, .. will sell the ore to the Hanna Niokel Smelting Company at the same price and the . prooess has been used in treating New Caledonia ores having oharacteristics similar to the.
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developed and released a series of mining machines, including working jointly with Hitachi, Ltd. . two major resource companies,. Anglo American and Xstrata. Iron ore. 200. 150.0. 140.0 . dump trucks since the 1970s, most models used either mechanical . Construction Machinery to sell these as a package, and it will be.
Aug 20, 2012 . Open cut, hard rock iron ore mining, using truck and shovel. .. amounts of VAT on sales (which could otherwise be used to offset VAT incurred.
LOADING SYSTEM FOR IRON ORE MINE" submitted by Sri Sandeep . mine. Advanced technology is used for the operation of the open-pit mining. ... case studies, recorded webinars, and in some cases, phone calls with technical sales.
Copyright © 2019 quality . All Rights Reserved


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Zest Stripe Print Tote Bag
This fun print forms part of our Zest collection. Featuring the bright block colours from our Zest colour-way, shop in style with this canvas tote bag. Durable, effortlessly simple and with room for all your essentials, this is the perfect "pack up and go" accessory.
- Made in England
- Designed By Henny


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Anyone who's had a modicum of success in draft leagues will tell you that trades and transfers are crucially important. One of the wonderful things about draft is the ability to buy or sell based on future performance. In standard fantasy (e.g. FPL) you buy a player because he's hot, keep him along with everyone else whilst he's hot, and then sell him along with everyone else because he's cooled. There's no great value to be gained from getting ahead of the crowd. Draft is different.
There are two key tactics in draft when it comes to trades and transfers:
Buying low – let's take Andy Robertson for example. One of your league mates will own Robertson, he's too good to have not been drafted, and will be frustrated with his lack of clean sheets and attacking returns thus far this season. We know this pattern will change, Liverpool will get 15+ clean sheets and Robertson's crosses will start to find their mark going forward. Your league mate probably knows this deep down too, but recency bias is big in the football world. He may have started to believe the media hype that clean sheets are a thing of the past, Liverpool can't defend without Alisson, they're playing more expansively leading to goals conceded etc etc. He may have 2 or more Liverpool defenders, and have lost matches as a result of their poor returns. This makes him ripe for targeting with a trade.
"recency bias is big in the football world"
Selling high – meanwhile say you own Ashley Barnes. The evergreen Claret anger-merchant has scored in every game so far this season. Is Ashley Barnes a 30+ goal a season striker? No. Is he going to keep up this form in a stolid, defence minded Burnley team? No. Does Chris Wood continue to stand aside as Barnes gets every Burnley goal? No. But remember recency bias, your league mate who owns Robertson may covet Ashley Barnes as the hot striker to turn his early season around. He believes clean sheets are a thing of the past, Burnley play 'leaky Liverpool' next etc.
This is the time for a trade, incorporating both buy low and sell high tactics. Say you offer something like this:
Your team offers Barnes and Danny Rose
His team's Ings and Robertson
Would this trade have worked three weeks ago? No, you'd have been laughed out the room and swiftly rejected. Could it work now whilst Barnes wears his superhero cape and Robertson keeps losing clean sheet points? Maybe so. On current form your league mate would be getting a good deal. But over the season who'd have the better of it? I'd rather bank on Robertson doubling Rose's points tally, whilst Ings and Barnes both finish in the 8-12 goal range they're usually found in.
Here's a few options to consider based on the first three gameweeks of the season:
Buy low
- Lloris and Kepa – with 5 and 3 points respectively that mid-round sheen they had in drafts is starting to wear off. Whatever you think of Lampard and a Vertonghen-less Spurs these are top 6 sides with a good defensive history. Prime targets to pick up for cheap right now.
- Liverpool defenders – they're elite defenders who've lost every clean sheet by a solitary goal. They all have potential attacking returns. The clean sheets will return.
- Gylfi Sigurdsson – elite level midfielder with a long track record of proven returns, plus the bonus of penalties. Once the team structure settles Everton's attack is too good to not start producing goals. Who feeds those goals with his set pieces and creative magic? Good old Gylfi. He was probably a second round pick in your draft, his stock has fallen and you may well be able to trade cheaply for him right now.
- Non-scoring strikers – of which there are currently a few yet to get off the mark this season. Deulofeu, Ayoze Perez, Richarlison, Callum Wilson, Wilf Zaha. These are proven premier league goalscorers with certainty of a starting berth. Fantasy managers like to see their strikers scoring, take advantage of their barren runs and get trading.
Sell high
- Teemu Pukki – I do believe the Flying Finn can score 15+ goals, but he certainly won't be winning the golden boot or scoring the 63 he's currently on track for! If anyone in your league has drunk the Pukki Kool-Aid and is offering you proven, elite talent for him – take it.
- Cantwell – another Norwich newbie who's on fire with both goals and assists thus far. The FPL crowd are fully in love with this 'cheap enabler'. No such thing in draft. Watch a Norwich game, is he their chief creator? I say no, and he can't keep it up. If you have him take the value from others who believe a little too much in the hype.
- Tammy Abraham – did he looks good this week and score two very good goals? Yes. Has he already been dropped once this season, and looked poor at all other times? Yes. With steady Giroud and high potential Batshuayi waiting in the wings I'd happily hand Tammy off to anyone who thinks he's suddenly an elite level forward.
"If anyone in your league has drunk the Pukki Kool-Aid and is offering you proven, elite talent for him – take it"
The examples above may not fit perfectly into your league, but hopefully the concept can lead you to making some great trades as we enter gameweek 4 and then the (sigh) international break.
Follow me @realffgaffer on twitter


text:
The Issue
The law currently caps the amount of money individuals can annually contribute to one or multiple retirement accounts to $18,500. Servicemembers are therefore restricted from contributing $18,500 to each of their military and civilian retirement accounts.
Amend the law to allow reserve component servicemembers to contribute the full $18,500 annual contribution to each of their military TSP and civilian retirement accounts.
Point of Contact
J.C. Cardinale
Legislative Affairs Manager, Joint & Personnel


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Bajura District
Bajura District
|Coordinates: 29°26′49″N 81°29′12″E / 29.44694°N 81.48667°ECoordinates: 29°26′49″N 81°29′12″E / 29.44694°N 81.48667°E
|Sudurpashchim Pradesh
|Admin HQ.
|Martadi (today part of Badimalika Municipality)
|• Type
|Coordination committee
|• Body
|DCC, Bajura
|• Total
|2,188 km2 (845 sq mi)
|6,400 m (21,000 ft)
|• Total
|• Density
|62/km2 (160/sq mi)
|Time zone
|Postal Codes
|Telephone Code
|Main Language(s)
Bajura District (Nepali: बाजुरा जिल्ला Listen (help·info)), a part of Sudurpashchim Pradesh, is one of the seventy-seven districts of Nepal. The district, with Martadi (today part of Badimalika Municipality) as its district headquarters, covers an area of 2,188 km2 (845 sq mi) and had a population of 108,781 in 2001[2] and 134,912 in 2011.[1] The district has nine municipalities, 9 Ilakas[further explanation needed] and 1 constituency areas. The district is situated in Longitude between 81° 10′ 20″ to 81° 48′ 27″ East and Latitude 29° 16′ 21″ to 29° 56′ 56″ North. Geographically the district is divided in three distinct regions from north to south viz. Higher Himalayan Region, Higher Mountain and mid – Mountains. The Higher Himalayan region comprises Saipal Himalayan range; High Mountain region comprises Doha Lekh and Ghori Lekh. Similarly, Mid-Mountain range comprises different ranges of mountains e.g. Badimalika Temple. The District has started from 300m to 6400m in height. The annual rainfall is about 13,433 mm and temperatures vary from 0 °C to 40 °C. The livelihood of more than 80% of the district population depends on agriculture farming, mainly small scale livestock. Due to low level of agricultural production, the majority of the households face acute food shortages for a large part of the year. According to the National Census 2011, the total population of the district is 134,912 comprising 69,106 female (51%) and 65,806 male (49%) residing in 24,908 households. Bajura district has an average population density of around 62 people per square km. The average family size is 5.4. Life expectancy of the people is 58 years. The average literacy rate is about 32%. Bajura district has a multi ethnic composition with Chhetri, Kami, Thakuri, Brahman, Damai, SarkI and Sanyashi (Giri and Puri). The common language is Nepali (96%) followed by Bhote Sherpa (0.46%) and Tamang (0.42%).[citation needed] Although accessibility to Bajura is very poor, this is improving rapidly. The Government strategy is mainly focused on the connection of VDC headquarters with all-weather motor able roads to SRN or District headquarters. Moreover, the DDC body of Bajura district has given higher priority on rural roads.[citation needed]
Geography and Climate[edit]
|Climate Zone[3]
|Elevation Range
|% of Area
|Upper Tropical
|300 to 1,000 meters
1,000 to 3,300 ft.
|1,000 to 2,000 meters
3,300 to 6,600 ft.
|2,000 to 3,000 meters
6,400 to 9,800 ft.
|3,000 to 4,000 meters
9,800 to 13,100 ft.
|4,000 to 5,000 meters
13,100 to 16,400 ft.
|above 5,000 meters
|3,000 to 6,400 meters
9,800 to 21,000 ft.
At the time of the 2011 Nepal census, Bajura District had a population of 134,912. Of these, 99.0% spoke Nepali and 0.5% Sherpa as their first language.[4]
The district consists of nine municipalities, out of which four are urban municipalities and five are rural municipalities. These are as follows:[5]
- Badimalika Municipality
- Triveni Municipality
- Budhiganga Municipality
- Budhinanda Municipality
- Gaumul Rural Municipality
- Pandav Gufa Rural Municipality
- Swamikartik Rural Municipality
- Chhededaha Rural Municipality
- Himali Rural Municipality
Former Village Development Committees[edit]
Prior to the restructuring of the district, Bajura District consisted of the following Village development committees:
Health care[edit]
The small health centers in many VDCs are without Auxiliary Health Workers (AHWs), Auxiliary Nurse Midwives (ANMs) and Community Health Workers (CHWs). Primary or normal treatment can be done in the district headquarters and also in Bayalpata Hospital of neighboring district Accham while people seeking severe case have to travel a long distance to Kathmandu or other major cities or end up dying because of lack of treatment. Many people still believe in Dhami and Jhakri and do not always seek medicine or go to the hospital for the treatment. An NGO, PHASE Nepal provides many health care facilities and training programs to six VDCs: Kolti, Wai, Kotila, Pandusain, Rugin and Baddhu. Many people residing in these VDCs have benefited from the program.[6]
Currently PHASE Nepal is working on several projects in this district including community health and education, livelihood, hygiene, sanitation and diarrhoea mitigation programmes.
Colleges and School in Bajura[edit]
Martadi, Bajura
- Bajura Multiple Campus
It has been conditioning the bachelor level programs with affiliation to Tribhuwan University, Kirtipur, Kathmandu, Nepal.
- Badimalika English Boarding School
- Converse Academy
- Shree Malika Higher Secondary School
Kolti, Bajura
- Shree Jana Prakash Higher Secondary School
Naubis, Bajura
- Shree Bhanodaya higher Secondary School
- Badimalika Multiple Campus
It is conducting the Bachelor's level program BBS, B.Ed & B.A. with affiliation to Tribhuwan University
Triveni, Bajura
- Ratna Higher Secondary School, Seliphal, Bajura.
It was established in 2022 BS, it recently started offering +2 level program in Humanities and Education stream.
- Masteshwori Higher Secondary School, Pandhara, Bajura.
The school is providing plus two level program in Humanities and Education Stream.
- Tolidewal Danda Secondary School, Toli, Bajura.
The school is providing plus two level program in Humanities and Education Stream.
- Tribhuwaneshwari Secondary School, Chhatara, Bajura.
The school is providing plus two level program in Management and Education Stream.
- Shree Parvati Secondary School, Paima, Bajura
- Nateshwori Secondary School, Khripata, Bajura
- Damtha Secondary School, Kailashmandu Bajura
- Bajura Model Academy, Khirpata Bajura
It is a English Medium School providing primary level education.
Photos of Bajura[edit]
- ^ a b "National Population and Housing Census 2011(National Report)" (PDF). Central Bureau of Statistics. Government of Nepal. November 2012. Archived from the original (PDF) on 2013-04-18. Retrieved November 2012. Check date values in:
- ^ "Nepal Census 2001". Nepal's Village Development Committees. Digital Himalaya. Archived from the original on 12 October 2008. Retrieved 12 December 2008.
- ^ The Map of Potential Vegetation of Nepal - a forestry/agroecological/biodiversity classification system (PDF), . Forest & Landscape Development and Environment Series 2-2005 and CFC-TIS Document Series No.110., 2005, ISBN 87-7903-210-9, retrieved Nov 22, 2013
- ^ 2011 Nepal Census, Social Characteristics Tables
- ^ "स्थानिय तह" (in Nepali). Ministry of Federal Affairs and General Administration. Retrieved 1 September 2018.
- ^ "Project Area: Bajura". PHASE Nepal.
External links[edit]
- "Districts of Nepal". Statoids.
|Wikimedia Commons has media related to Bajura District.


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The path partition problem and related problems in bipartite graphs
The path partition problem and related problems in bipartite graphs
The path partition problem and related problems in bipartite graphs
Operations Research Letters 35 (2007) 677 – 684 Operations Research Letters www.elsevier.com/locate/orl The path partition problem and related probl...
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Operations Research Letters 35 (2007) 677 – 684
Operations Research Letters www.elsevier.com/locate/orl
The path partition problem and related problems in bipartite graphs Jérôme Monnota,∗ , Sophie Toulouseb a CNRS LAMSADE - UMR 7024, Université Paris-Dauphine, Place du Maréchal De Lattre de Tassigny, 75775 Paris Cedex 16, France b LIPN - UMR CNRS 7030, Institut Galilée, Université Paris 13, 99 av. Jean-Baptiste Clément, 93430 Villetaneuse, France
Received 18 November 2005; accepted 17 December 2006 Available online 11 January 2007
Abstract We prove that it is NP-complete to decide whether a bipartite graph of maximum degree three on nk vertices can be partitioned into n paths of length k. Finally, we propose some approximation and inapproximation results for several related problems. © 2007 Elsevier B.V. All rights reserved. Keywords: Pk -Partition; Path packing; Path partition; Bipartite graphs; APX-Hardness; Approximation algorithms
1. Introduction The Pk partitioning problem (Pk PARTITION in short) consists, given a simple graph G = (V , E) on k × n vertices, in deciding if there exists a partition of V into (V1 , . . . , Vn ) such that for 1i n, |Vi | = k and the subgraph G[Vi ] induced by Vi contains a Hamiltonian path. In other words, we want to know if there exist n vertex disjoint simple paths of length k in G. The analogous problem where the subgraph G[Vi ] induced by Vi is isomorphic to Pk (the chordless path on k vertices) will be denoted by INDUCED Pk PARTITION. These two problems are NP-complete for any k 3, and polynomial otherwise [8,13]. In fact, they both are a particular case of a more general problem called ∗ Corresponding author. Tel.: +33 1 44054552.
E-mail addresses:
[email protected]
(J. Monnot),
[email protected]
(S. Toulouse). 0167-6377/$ - see front matter © 2007 Elsevier B.V. All rights reserved. doi:10.1016/j.orl.2006.12.004
partition into isomorphic subgraphs [8]. In [13], Kirkpatrick and Hell give a necessary and sufficient condition for the NP-completeness of the partition into isomorphic subgraphs problem in general graphs. Pk PARTITION has been widely studied in the literature, mainly because its NP-completeness also implies the NP-hardness of two famous optimization problems, namely: the minimum k-path partition problem (denoted by MINk-PATHPARTITION) and the maximum Pk packing problem (MAXPk PACKING in short). MINk-PATHPARTITION consists in partitioning the vertex set of a graph G = (V , E) into the smallest number of paths such that each path has at most k vertices (for instance, MIN2-PATHPARTITION is equivalent to the maximum matching problem); the optimal value is usually denoted by k−1 (G), and by (G) when no constraint occurs on the length of the paths (in particular, we have (G) = 1 iff G has an Hamiltonian path). MINk-PATHPARTITION has been extensively
J. Monnot, S. Toulouse / Operations Research Letters 35 (2007) 677 – 684
studied in the literature [18,17,21], and has applications in broadcasting problems, see for example [21]. MAXPk PACKING (resp., MAXINDUCEDPk PACKING), consists, given a simple graph G = (V , E), in finding a maximum number of vertex-disjoint (resp., induced) Pk . In their weighted versions (denoted MAXWPk PACKING and MAXWINDUCEDPk PACKING, respectively), the input graph G = (V , E) is given together with a weight function w on its edges; the goal is to find a collection P = {P1 , . . . , Pq } of vertex-disjoint (resp., induced Pk ) maximizing q w(P) = e∈Pi w(e). Some approximation i=1 results for MAXWPk PACKING when the graph is complete on k × n vertices are given in [9,10,15]. In this case, each solution contains exactly n vertex disjoints paths of length k − 1 (note that, in this particular case, the minimization version may also be considered). This problem is related to the vehicle routing problem [21,3]. Here, we study the complexity of Pk PARTITION and INDUCED Pk PARTITION in the case of bipartite graphs. We first show that Pk PARTITION and INDUCED Pk PARTITION are NP-complete for any k 3 in bipartite graphs of maximum degree 3. Moreover, for k =3, this remains true even if the graph is planar. On the opposite side, Pk PARTITION, INDUCED Pk PARTITION, MINk-PATHPARTITION and MAXWPk PACKING trivially become polynomial-time computable in graphs of maximum degree 2 and in forests. Then, we prove that, in bipartite graphs of maximum degree 3, MAXPk PACKING and MAXINDUCEDPk PACKING do not have a PTAS. More precisely, we prove that there is a constant k > 0 such that it is NP-hard to decide whether a maximum (induced) Pk -packing of a bipartite graph of maximum degree 3 on kn vertices is of size n or of size upper bounded by (1 − k )n. Finally, we propose a 23 -approximation for MIN3PATHPARTITION in general graphs and a 13 (resp., 21 )approximation for MAXWP3 PACKING in general (resp., bipartite) graphs of maximum degree 3. This paper is organized as follows: in the next section, we briefly present previous related works about the hardness of solving bounded-size-path packing problems. Then, the third part is dedicated to complexity results concerning Pk PARTITION, INDUCED Pk PARTITION, MAXINDUCEDPk PACKING and MAXPk PACKING in bipartite graphs. Finally, some
approximation results concerning MAXWP3 PACKING and MIN3-PATHPARTITION are proposed in a fourth section. The notations are the usual ones according to graph theory. Moreover, we exclusively work in undirected simple graphs. In this paper, we often identify a path P of length k − 1 with Pk , even if P contains a chord. However, when we deal with INDUCED Pk PARTITION, the paths considered will be chordless. We denote by opt(I ) and apx(I ) the value of an optimal and of an approximate solution, respectively. We say that an algorithm A is an -approximation with 1 for a minimization problem (resp., with 1 for a maximization problem) if apx(I ) × opt(I ) (resp., apx(I ) × opt(I )) for any instance I (for more details, see for instance [2]).
2. Previous related work The minimum k-path partition problem is obviously NP-complete in general graphs [8], and remains intractable in comparability graphs [18], in cographs [17], and in bipartite chordal graphs [18] (when k is part of the input). Note that most of the proofs of NP-completeness actually establish the NP-completeness of Pk PARTITION. Nevertheless, the problem turns out to be polynomial-time solvable in trees [21], in cographs when k is fixed [17] or in bipartite permutation graphs [18]. Note that one can also find in the literature several results about partitioning the graph into disjoints paths of length at least 2 [20,11]. Concerning the approximability of related problems, Hassin and Rubinstein [9] proposed a generic algorithm to approximate MAXWP4 PACKING in complete graphs on 4n vertices that guarantees an approximation ratio of 43 for general distance function. More recently in [15], it has been proven that 9 this algorithm is also a 10 -approximation for the 1, 2instances. For the minimization version, it provides respectively a 23 - and a 76 -approximation for the metric and the 1, 2-instances in complete graphs on 4n vertices (in this case, we seek a maximal P4 -Packing of minimum weight). In [10], the authors proposed a (35/67 − )-approximation for MAXP3 PARTITION in complete graphs on 3n vertices using a randomized algorithm. To our knowledge, there is no specific
J. Monnot, S. Toulouse / Operations Research Letters 35 (2007) 677 – 684
approximation result for MAXWP3 PACKING in general graphs. However, using approximation results for the maximum weighted 3-packing problem (mainly based on local search techniques) [1], we can obtain a ( 21 − )-approximation for MAXWP3 PACKING. Finally, there is, to our knowledge, no approximation result for MINk-PATHPARTITION. Nevertheless, when the problem consists in maximizing the number of edges used by the paths, then we can find some approximation results, in [19] for the general case, in [5] for dense graphs.
3. Complexity results Theorem 3.1. Pk PARTITION and INDUCED Pk PARTITION are NP-complete in bipartite graphs of maximum degree 3, for any k 3. As a consequence, MAXPk PACKING and MINk-PATHPARTITION are NPhard in bipartite graphs with maximum degree 3, for any k 3. Proof. The paths of length k − 1 used in the reduction are chordless; thus, the result holds for both problems. The proof is based on a reduction from the k-dimensional matching problem, denoted by kDM, which is known to be NP-complete [8]. An instance of kDM consists of a subset C = {c1 , . . . , cm } ⊆ X1 × · · · × Xk of k-tuples, where X1 , . . . , Xk are k pairwise disjoint sets of size n. A matching is a subset M ⊆ C such that no two elements in M agree in any coordinate, and the purpose of kDM is to answer the question: does there exist a perfect matching M on C, that is, a matching of size n? Given an instance I = (C, X1 × · · · × Xk ) of kDM, we build an instance G = (V , E) of Pk PARTITION depending on the parity of k, where G is a bipartite graph of maximum degree 3, as follows: Case 1: k is odd. • To each k-tuple ci ∈ C, we associate a gadget H (ci ) that consists of a collection {P i,1 , . . . , P i,k } of k vertex-disjoint Pk with i,q i,q P i,q ={a1 , . . . , ak } for q=1, . . . , k. We add to i,q i,q+1 H (ci ) the edges [a1 , a1 ] for q = 1 to k − 1, in order to form a (k + 1)th Pk {a1i,1 , . . . , a1i,k } (see Fig. 1 for an illustration when k = 3).
Fig. 1. The gadget H (ci ) when ci is a 3-uplet.
Fig. 2. The gadget H (ej ) for k = 3 and d j = 2.
• For each element ej ∈ X1 ∪ · · · ∪ Xk , let d j denote the number of k-tuples ci ∈ C that contain ej ; the gadget H (ej ) is defined as a cycle j j j {v1 , . . . , vN j +1 , v1 } on N j + 1 vertices, where N j = k(2d j − 1). Moreover, for p = 1 to d j , we j denote by lp the vertex of index 2k(p − 1) + 1 (see Fig. 2 for an illustration of H (ej ) when k=3 and d j = 2). • Finally, for any couple (ej , ci ) such that ej is the value of ci on the qth coordinate, the two gadgets H (ci ) and H (ej ) are connected using i,q j j an edge [a2 , lpi ]. The vertices lpi that will be linked to a given gadget H (ci ) must be chosen in j such a way that each vertex lp from any gadget H (ej ) will be connected to exactly one gadget H (ci ) (this is possible since each H (ej ) contains j exactly d j vertices lp ). This construction obviously leads to a graph G of maximum degree 3, on 3k 2 m + (1 − k)kn vertices: consider, on the one hand, that each gadget H (ci ) is a graph on k 2 vertices and, on the other hand, that kn j j =1 d = km (wlog., we may assume that each element ej appears at least once in C). Finally, one can see that G is bipartite. Case 2: k is even. The construction is quite identical, except the construction of the H (ej ) gadgets: H (ej ) is a cycle j j j {v1 , . . . , vN j , v1 } on N j vertices, plus an additional j
edge [vN j , vN j +1 ]. The special vertices lp are defined j
by lp = v2k(p−1)+1 for p = 1, . . . , d j (note that ld j j
never matches vN j ). We can easily see that H (ej ) is bipartite (N j is even).
J. Monnot, S. Toulouse / Operations Research Letters 35 (2007) 677 – 684
In any case, we claim that there exists a perfect matching M ⊆ C iff there exists a partition P∗ of G into Pk . The argument is mainly based on the definition of the following path partitions Pi and Qi on V (Hi ), for any i = 1, . . . , m: ⎧ i k P = q=1 P i,q ∪ {a1i,1 , a1i,2 , . . . , a1i,k } ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ with P i,q = {a i,q , . . . , a i,q , li,q } ∀q, 2 k k i i,q ⎪ ⎪ Q = q=1 Q ⎪ ⎪ ⎪ ⎩ i,q i,q i,q with Qi,q = {ak , . . . , a2 , a1 } ∀q where li,q denotes the vertex from some H (ej ) i,q
linked to a2 . One can easily see that any partition of G into Pk uses Pi and Qi collections in order to cover the H (ci ) gadgets, plus 2(d j − 1) paths on each H (ej ). Fig. 3 illustrates the construction of the paths partition on V (H (ci )) with respect to a given matching M for 3DM. If we decrease the maximum degree of the graph down to 2, we can easily prove that Pk PARTITION, INDUCED Pk PARTITION, MAXPk PACKING and MINkPATHPARTITION are polynomial-time computable. The same fact holds for MAXWPk PACKING (what remains true in forests), although it is a little bit complicated: the proof consists of a reduction from MAXWPk PACKING in graphs with maximum degree 2 (resp., in a forest) to the problem of computing a maximum weight independent set in an interval (resp., chordal) graph, which is known to be polynomial [7]. Proposition 3.2. MAXWPk PACKING is polynomial in graphs with maximum degree 2 and in forests, for any k 3. Theorem 3.3. P3 PARTITION and INDUCED P3 PARTITION are NP-complete in planar bipartite graphs with maximum degree 3. As a consequence, MAXP3 PACKING and MIN3-PATHPARTITION are NPhard in planar bipartite graphs with maximum degree 3. Proof. We apply the proof of the previous theorem, except that we start from a restriction of the threedimensional matching problem, which is denoted by
PLANAR 3DM-3. It is well known that this restriction of 3DM is still NP-complete [6]. Using an APX-hardness result for the optimization version of kDM (denoted MAXkDM) and the reduction of Theorem 3.1, we are able to obtain an APXhardness result for MAXPk PACKING in bipartite graphs of maximum degree 3. The result used is the following: for any k 3, there is a constant k > 0, such that ∀I = (C, X1 × · · · × Xk ) instance of MAXkDM with n = |X1 | = · · · = |Xk |, it is NP-hard to decide between opt(I ) = n and opt(I )(1 − k )n, where opt(I ) is the value of a maximum matching on C. This result also holds if we restrict ourselves to instances I = (C, X1 × · · · × Xk ) such that for each element ej ∈ X1 ∪ · · · ∪ Xk , d j f (k), where f (k) is a constant (we recall that d j is the number of ktuples ci ∈ C containing ej ). For k = 3, the result is proved in [16] with f (3) = 3, and for the other values of k [12]. Theorem 3.4. For any k 3, there is a constant k > 0, such that ∀G = (V , E) instance of MAXPk PACKING (resp., MAXINDUCEDPk PACKING) where G is a bipartite graph of maximum degree 3, it is NP hard to decide between opt(G) = |V |/k and opt(G) (1 − k )(|V |/k) where opt(G) is the value of a maximum (resp., maximum induced) Pk -Packing on G. Proof. Let I = (C, X1 × · · · × Xk ) be an instance of MAXkDM with n = |X1 | = · · · = |Xk | and m = |C| and such that ∀ej ∈ X1 ∪· · ·∪Xk , d j f (k). Consider the graph G = (V , E) produced in Theorem 3.1. We recall that G is bipartite of maximum degree 3, |V |=3k 2 m+ (1 − k)n, and all paths of length k − 1 are chordless. Let P∗ be an optimal solution of MAXPk PACKING with value opt(G). We can assume that the two following properties hold: (i) In any gadget H (ci ), P∗ contains either the packing Pi , or the packing Qi . (ii) In any gadget H (ej ), P∗ contains exactly 2d j −1 paths. We know that I has a perfect matching iff opt(G) = 3km + (1 − k)n = |V |/k. Now, let M0 = {ci ∈ C : P∗ contains the packing Pi on V (H (ci ))} and m0 =|M0 |.
J. Monnot, S. Toulouse / Operations Research Letters 35 (2007) 677 – 684
Fig. 3. A vertex partition of a H (ci ) gadget into 2-length paths.
Since kj =1 nd j = km (see Theorem 3.1), and using properties (i) and (ii), we deduce opt(I ) = 2km − kn + km + m0 . Thus, if a maximum matching on I for MAXkDM with value opt(I ) satisfies opt(I )(1 − k )n, we deduce m0 (1 − k )n. Hence, by setting k = (n/(3km − kn + n))k , we obtain opt(G) (1 − k )(3km − kn + n) = (1 − k )(|V |/k). Finally, since d j f (k) where f (k) is a constant, we deduce that km3f (k)n and then, k (1/(9f (k) + 1 − k))k , which concludes the proof. Some interesting questions concern the complexity of Pk PARTITION (or INDUCED Pk PARTITION) for k 4 and the APX-hardness of MAXPk PACKING and MAXINDUCEDPk PACKING for k 3 in planar bipartite graphs with maximum degree 3. 4. Approximation results We present some approximation results for MAXWP3 PACKING and MIN3-PATHPARTITION, that are mainly based on matching and spanning tree heuristics.
of MAXWPk PACKING consists in iteratively picking a path of length k − 1 that is of maximum weight. For k = 3 and in graphs of maximum degree 3, the time complexity of this algorithm is between O(n log n) and O(n2 ) (depending on the encoding structure). Actually, in such graphs, one may reach a 13 approximate solution, even in time O((n, m)n), where is the inverse Ackerman's function and m 3n/2. Theorem 4.1. MAXWP3 PACKING is 13 approximable within O((n, 3n/2)n) time complexity in graphs of maximum degree 3; this ratio is tight for the algorithm we analyze. Proof. The argument uses the following observation: for any spanning tree of maximum degree 3 containing at least three vertices, one can build a cover of its edge set into three packings of P3 within linear time. Hence, by computing a maximum-weight spanning tree T = (V , ET ) on G in O((n, 3n/2)n) time [4], and by picking the best P3 -packing among the cover, the result follows. We omit the proof of the tightness.
4.1. MAXWP3 PACKING in graphs of maximum degree 3
4.2. MAXWP3 PACKING in bipartite graphs of maximum degree 3
For this problem, the best approximate algorithm known so far provides a ratio of ( 21 − ), within high (but polynomial) time complexity. This algorithm is deduced from the one proposed in [1] to approximate the weighted k-set packing problem for sets of size 3. Furthermore, a simple greedy 1/k-approximation
If we restrict us to bipartite graphs, we slightly improve the ratio of 21 − [1] up to 21 . We then show that, in the unweighted case, this result holds without any constraint on the graph maximum degree. From I = (G, w) where G is a bipartite graph G = (L ∪ R, E) of maximum degree 3, we build two
J. Monnot, S. Toulouse / Operations Research Letters 35 (2007) 677 – 684
weighted graphs (GL , dL ) and (GR , dR ), where GL = (L, EL ) and GR = (R, ER ). Two vertices x = y from L are linked in GL iff there exists in G a path of length 2 Px,y from x to y, rigorously: [x, y] ∈ EL iff ∃z ∈ R s.t. [x, z], [z, y] ∈ E. The distance dL (x, y) is defined as dL (x, y) = max{w(x, z) + w(z, y)|[x, z], [z, y] ∈ E}. (GR , dR ) is defined by considering R instead of L. If G is of maximum degree 3, then the following fact holds: Lemma 4.2. From any matching M on GL (resp., on GR ), one can deduce a P3 packing PM of weight w(PM ) = dL (M) (resp., w(PM ) = dR (M)), when G is of degree at most 3. Weighted P3 -Packing 1 Build the weighted graphs (GL , dL ) and (GR , dR ); 2 Compute a maximum weight matching ML∗ (resp., MR∗ ) on (GL , dL ) (resp., on (GR , dR )); 3 Deduce from ML∗ (resp., MR∗ ) a P3 packing PL (resp., PR ) according to Lemma 4.2; 4 Output the best packing P among PL and PR . The time complexity of this algorithm is mainly the time complexity of computing a maximum weight matching in graphs of maximum degree 9, that is O(|V |2 log |V |) [14]. Theorem 4.3. Weighted P3 -Packing provides a 1 2 -approximation for MAXWP3 PACKING in bipartite graphs with maximum degree 3 and this ratio is tight. Proof. Let P∗ be an optimum P3 -packing on I = (G, w), we denote by P∗L (resp., P∗R ) the paths of P∗ of which the two endpoints belong to L (resp., R); thus, opt(I ) = w(P∗L ) + w(P∗L ). For any path P = Px,y ∈ P∗L , [x, y] is an edge from EL , of weight dL (x, y)w(Px,y ). Hence, ML = {[x, y]|Px,y ∈ P∗L } is a matching on GL that satisfies d(ML )w(P∗L ).
Moreover, since ML∗ is a maximum weight matching on GL , we have dL (ML ) dL (ML∗ ). Thus, using inequality (1) and Lemma 4.2 (and by applying the same arguments on GR ), we deduce w(PL )w(P∗L ),
w(PR ) w(P∗R ).
Finally, the solution outputted by the algorithm satisfies w(P)1/2(w(PL ) + w(PR )); thus, we directly deduce from inequalities (2) the expected result. The instance I = (G, w) that provides the tightness is depicted in Fig. 4. It consists of a graph on 12n vertices on which one can easily observe that w(PL ) = w(PR ) = 2n(n + 2) and w(P∗ ) = 2n(2n + 2). Concerning the unweighted case, we may obtain the same performance ratio without the restriction on the maximum degree of the graph. The main differences compared to the previous algorithm lie in the construction of the two graphs GL , GR : starting from G, we duplicate each vertex ri ∈ R by adding a new vertex ri with the same neighborhood as ri (this operation, often called multiplication of vertices in the literature, is used in the characterization of perfect graphs). Finally, we add the edge [ri , ri ]. If RL denotes the vertex set {ri , ri |ri ∈ R}, then the following property holds: Property 4.4. From any matching M on GL , one can deduce a matching M on GL that saturates RL , and such that |M | |M|. Theorem 4.5. There is a 21 -approximation for MAXP3 PACKING in bipartite graphs and this ratio is tight. √ The complexity time of this algorithm is O(m n). 4.3. MIN3-PATHPARTITION in general graphs To our knowledge, the approximability of MINkPATHPARTITION (or MINPATHPARTITION) has not been studied so far. Here, we propose a 23 -approximation for MIN3-PATHPARTITION. Although this problem can be viewed as an instance of 3-set cover (view the set of all paths of length 0, 1 or 2 in G as sets on V ), MIN3-PATHPARTITION and the minimum 3set cover problem are different. For instance, consider a star K1,2n ; the optimum value of the corresponding 3-set cover instance is n, whereas the optimum value of the 3-path partition is 2n − 1. Note that, concerning MINPATHPARTITION (that is, the approximation of (G)), we can trivially see that it is not (2 − )-approximable, from the fact that deciding whether (G) = 1 or (G) 2 is NPcomplete. Actually, we can more generally establish
J. Monnot, S. Toulouse / Operations Research Letters 35 (2007) 677 – 684
Fig. 4. The tightness.
that (G) is not in APX: otherwise, we could obtain a PTAS for the traveling salesman problem with weight 1 and 2 when opt(I ) = n, which is not possible, unless P = NP. Computing 2 (G) 1 Compute a maximum matching M1∗ on G; 2 Build a bipartite graph G2 = (L, R; E2 ) where L = {le |e ∈ M1∗ }, R ={rv |v ∈ V \V (M1∗ )}, and [le , rv ] ∈ / V (M1∗ ) E2 iff the corresponding isolated vertex v ∈ is adjacent in G to the edge e ∈ M1∗ ; 3 Compute a maximum matching M2∗ on G2 ; 4 Output P the 3-paths partition deduced from M1∗ , M2∗ , and V \V (M1∗ ∪ M2∗ );Precisely, if M1 ⊆ M1∗ is the set of edges adjacent to M2∗ , then the paths of length 2 are given by M1 ∪ M2∗ , the paths of length 1 are given by M1∗ \M1 , and the paths of length 0 (that is, the isolated vertices) are given by V \V (M1∗ ∪ M2∗ ).
[le , rv ] ∈ E2 iff there is an edge of P∗ that links v to an endpoint of e. By definition of V0 , we deduce that dG2 (rv ) 1 for any v ∈ V0 (V0 is an independent set of G). Moreover, we have dG2 (le ) 2 for any e ∈ M1∗ (M1∗ is an optimal matching). Thus, we get |M2∗ | 1/2|R | = 1/2(|V | − 2|M1∗ | − |P∗0 |).
From relations (3) and (4), we deduce apx(I ) = |V | − |M1∗ | − |M2∗ | 1/2(|V | + |P∗0 |). (5) Now, consider the optimal solution. From |V | = 3|P∗2 | + 2|P∗1 | + |P∗0 |, we trivially have opt(I ) = |P∗2 | + |P∗1 | + |P∗0 | 1/3(|V | + |P∗0 |). (6) Thus, we obtain the expected result. The proof of the tightness is omitted. Acknowledgments
The time complexity of this algorithm is O(nm + n2 log n) [14]. Theorem 4.6. MIN3-PATHPARTITION is 23 -approximable in general graphs; this ratio is tight for the algorithm we analyze. Proof. Let G = (V , E) be an instance of MIN3PATHPARTITION. Let P∗ = (P∗2 , P∗1 , P∗0 ) and P = (P2 , P1 , P0 ), respectively, be an optimal solution and the approximate 3-path partition on G, where P∗i and Pi denote for i = 0, 1, 2 the set of paths of length i. By construction of the approximate solution, we have apx(I ) = |V | − |M1∗ | − |M2∗ |.
Let V0 = (V \V (M1∗ ))\P∗0 , we consider a subgraph G2 = (L, R ; E2 ) of G2 , where R and E2 are defined as: R = {rv ∈ R|v ∈ V0 } and E2 contains the edge
Many thanks to the anonymous referee and the anonymous associate editor for pertinent and useful comments and suggestions. References [1] E. Arkin, R. Hassin, On local search for weighted packing problems, Math. Oper. Res. 23 (1998) 640–648. [2] G. Ausiello, P. Crescenzi, G. Gambosi, V. Kann, A. Marchetti-Spaccamela, M. Protasi, Complexity and Approximation, Combinatorial Optimization Problems and Their Approximability Properties, Springer, Berlin, 1999. [3] C. Bazgan, R. Hassin, J. Monnot, Approximation algorithms for some routing problems, Discrete Appl. Math. 146 (2005) 3–26. [4] B. Chazelle, A minimum spanning tree algorithm with Inverse-Ackermann type complexity, J. ACM 47 (2000) 1028–1047. [5] B. Csaba, M. Karpinski, P. Krysta, Approximability of dense and sparse instances of minimum 2-connectivity, TSP and path problems, SODA (2002) 74–83.
J. Monnot, S. Toulouse / Operations Research Letters 35 (2007) 677 – 684
[6] M. Dyer, A. Frieze, Planar 3DM is NP-complete, J. Algorithms 7 (1986) 174–184. [7] A. Frank, Some polynomial time algorithms for certain graphs and hypergraphs, Proceedings of the Fifth British Combinatorial Conference, Congressus Numerantium XV, Utilitas Mathematicae, Winnipeg, 1976, pp. 211–226. [8] M.R. Garey, D.S. Johnson, Computers and Intractability. A Guide to the Theory of NP-completeness, Freeman, CA, 1979. [9] R. Hassin, S. Rubinstein, An approximation algorithm for maximum packing of 3-edge paths, Inform. Process. Lett. 63 (1997) 63–67. [10] R. Hassin, S. Rubinstein, An approximation algorithm for maximum triangle packing, Discrete Appl. Math. 154 (2006) 971–979. [11] A. Kaneko, A necessary and sufficient condition for the existence of a path factor every component of which is a path of length at least two, J. Combin. Theory Ser. B 88 (2003) 195–218. [12] M. Karpinski, Personnal communication, 2006. [13] D.G. Kirkpatrick, P. Hell, On the completeness of a generalized matching problem, Proceedings of the STOC'78, 1978, pp. 240–245.
[14] L. Lovasz, M.D. Plummer, Matching Theory, North-Holland, Amsterdam, 1986. [15] J. Monnot, S. Toulouse, Approximation results for the weighted P4 partition problem, The Symposia on Fundamentals of Computation Theory, F.C.T.'2005, Lecture Notes in Computer Science, vol. 3623, Springer, Berlin, 2005, pp. 377–385. [16] E. Petrank, The hardness of approximation: gap location, Comput. Complexity 4 (1994) 133–157. [17] G. Steiner, On the k-path partition of graphs, Theor. Comput. Sci. 290 (3) (2003) 2147–2155. [18] G. Steiner, k-Path partitions in trees, Theor. Comput. Sci. 290 (2003) 2147–2155. [19] S. Vishwanathan, An approximation algorithm for the asymmetric travelling salesman problem with distances one and two, Inform. Process. Lett. 44 (6) (1992) 297–302. [20] H. Wang, Path factors of bipartite graphs, J. Graph Theory 18 (1994) 161–167. [21] J.-H. Yan, G.J. Chang, S.M. Hedetniemi, S.T. Hedetniemi, k-path partitions in trees, 78 (1–3) (1997) 227–233.
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Welcome to our Newest Employees!
Post Date: 07/08/2019
Emanate welcomes two new employees to the team! Please join us in welcoming Naren and Jordan. We look forward to collaborating with both of them.
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1st Annual Hope Services Benefit Concert is a Big Success!
Post Date: 06/16/2019
Recently, Emanate Life Sciences had the privilege of sponsoring the first annual "Hope Services Benefit Concert". The event was well-attended and very successful, raising over $379,000 to support Hope Services' mission.
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Benefit: Lacy J. Dalton in Concert for Rotary
Post Date: 04/03/2019
We'll be sponsoring the Scotts Valley and San Lorenzo Valley Rotary Clubs' annual fundraiser on April 14th.
Lacy J. Dalton will be there with the whole band to help get the party started!
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Benefit: In Concert with Hope
Post Date: 04/03/2019
We are proud to support Hope Services' mission to assist people with developmental disabilities by sponsoring their first annual benefit concert!
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Sign up for your free pre-order prize pack!
Come to my launch party on Feb 5!
Find me on tour in Tempe, Albuquerque, Frisco, Southern Pines, Miami, and Sacramento!
Pre-order now to get some Unwanteds and Unwanteds Quests goodies! Links below the graphic.
Barnes & Noble exclusive edition
Book 1, Dragon Captives, will be out in paperback Feb 6 as well!
Here's where I'll be on book tour:
February 3, 2018
DRAGON BONES LAUNCH PARTY! 3:00 p.m.
At the amazing Changing Hands Bookstore
6428 S. McClintock, Tempe, AZ
Get your copy waaaaay before everyone else!
February 5, 2018
Barnes & Noble Clackamas Towne Center, 6:00pm
12000 SE 82nd Ave., Portland, OR
Get your B&N exclusive edition of DRAGON BONES autographed the night before official release day! (It has two cool extras inside that you won't want to miss!)
February 6, 2018
The Reading Bug, 4:30 p.m.
785 Laurel Street, San Carlos, CA
Official release day for Dragon Bones! Hope to see you there.
February 7, 2018
Salt Lake City, I can't get enough of you. See you at:
The King's English, 7:00 p.m.
1511 S. 1500 E, SLC, Utah
February 8, 2018
Pages Bookstore, 7:00p.m.
904 Manhattan Ave, Manhattan Beach, CA
There's no place I'd rather be in February than back in beautiful Manhattan Beach. Hope you can make it!
February 9, 2018
Once Upon a Time Bookstore, 7:00 p.m.
2207 Honolulu Ave, Montrose, CA.
A fairytale ending to my week at a fabulous bookshop. Let's hang out!
February 4, 3 pm
6428 S. McClintock
February 6, 6 pm
February 7, 5 pm
14532 Memorial Dr
February 8, 7 pm
123 W Jefferson Ave, Naperville
February 9, 4 pm
140 NW Broad Street
February 10, 7 pm
3522 Wade Ave
February 11, 2 pm
752 Martin Luther King Jr Blvd
February 14, 6 pm
1315 North Milwaukee
February 15, 7 pm
17171 Bothell Way NE
February 16, 6 pm
1758 South Val Vista Drive
Ten years after Alex and Aaron Stowe brought peace to Quill and Artimé, their younger twin sisters journey beyond the islands in this first novel of a new sequel series to The Unwanteds, which Kirkus Reviews called "The Hunger Games meets Harry Potter."
Identical twins Fifer and Thisbe Stowe have amazing yet uncontrollable magical abilities. They're naturally more gifted than even their brother, Alex, the head mage of Artimé, could hope to be. But when they accidentally use their magic in the jungle of Artimé to strike down a beloved creature, Alex is furious, and threatens to lock them away until they can learn to control their power.
The threat is soon forgotten, though, when Hux, the ice blue dragon, comes to Artimé bearing the horrible news that his siblings have been enslaved by the notoriously evil Revinir, ruler of the dragon land.
Seeking a chance to right their wrong and escape their brother's wrath, Thisbe, Fifer, and their friend Seth sneak away to rescue the dragons from grave peril. Will their untrained abilities be enough to save the dragons—and themselves—when they come face-to-face with the Revinir?
Can you believe the seventh and final book in The Unwanteds Series is almost here? If you want the very special prize pack that goes with it, pre-order at one of these fine bookstores now. While supplies last.
I'll be heading out on tour as usual, with a lot of great new stores that I haven't been to before. I'm so excited! I hope you can make it. I'll have some goodies with me, and I'd love to autograph your books, so be sure to stop in if you're nearby.
Hope to see you soon!
April 11, 2016
Changing Hands Bookstore, 7:00pm
6428 So. McClintock
Tempe, AZ 85283
April 12, 2016
Boulder Bookstore 6:30pm
1107 Pearl St.
Boulder, CO 80302
April 13, 2016
King's English Bookshop, 7:00pm
1511 South 1500 East
Salt Lake City, UT 84105
April 14, 2016
Anderson's Bookshop, 7:00pm
123 W. Jefferson Avenue
Naperville, IL 60540
April 15, 2016
Barnes & Noble, 7:00pm
721 Gravois Rd
Fenton, MO 63026
April 18, 2016
Doylestown Bookshop, 6:30pm
16 S Main Street
Doylestown, PA 18901
with Kevin Sands!
April 19, 2016
Barnes & Noble, 7:00pm
Market Fair
3535 US Highway 1
Princeton, NJ 08540
with Kevin Sands!
April 20, 2016
RJ Julia Booksellers, 5:30pm
768 Boston Post Rd.
Madison, CT 06443
with Kevin Sands!
More Information
April 21, 2016
Hooray for Books, 5:00pm
1555 King St. Alexandria,
Virginia 22314
with Kevin Sands!
April 22, 2016
Newtown Bookshop, 5:00pm
2835 S. Eagle Road
Newtown, PA 18940
with Kevin Sands!
April 24, 2016
Toronto area:
Chapters Markham, 2:00pm
3175 Highway 7 East,
Markham, Ontario L3R 0J5
with authors Kevin Sands and Kevin Sylvester!
More Information
April 26, 2016
1st Vancouver event:
North Vancouver District Library, 4:00pm
3045 Highland Blvd
North Vancouver, BC
Hosted by Kidsbooks
April 26, 2016
2nd Vancouver event:
West Point Grey United Church Sanctuary 7:00pm
4595 West 8th Ave
Vancouver, BC
Hosted by Kidsbooks
April 29, 2016
Barnes & Noble, 7:00pm
2191 N Rainbow Blvd
Las Vegas, NV 89108
May 6, 2016
Barnes & Noble, 7:00pm
21001 N Tatum Blvd
Phoenix, AZ 85050
The Unwanteds: ISLAND OF LEGENDS comes out in paperback this week (July 7, 2015)! That's book 4 in the Unwanteds series. Book 5 (Island of Shipwrecks) is available in hardcover, and book 6 (Island of Graves) will be out September 15, 2015. The 7th and final book in the series will be coming your way next spring.
I'll be on tour this September, hitting the east coast. More details when I have 'em! Stay cool out there and keep reading. Hope you're having an excellent summer!
The official release day is Tuesday, Feb. 3, but the book is trickling into bookstores already. I just signed a couple copies in the Pittsburgh airport, in fact.
Visit the official Unwanteds website for cool downloadables, games, a book trailer, a map, and an educator's guide.
And here's some fun news–B&N choose Island of Shipwrecks as one of February's Top Picks for Young Readers, yay!
I'll be signing a lot of books in the coming weeks. My book tour starts on Tuesday, and I'll be presenting at schools and bookstores all over Arizona, California, and Texas. Check my APPEARANCES page on my website for the most up to date information, or scroll down.
If you want one of the exclusive, collectible prize packs along with an autographed copy of the book, order by Monday, Feb 2nd (that's tomorrow!) or come to my launch party on Tuesday, Feb 3, at 6pm. They ship worldwide. Here's what's in the prize pack:
I know it's hard to keep a secret, especially when something major happens in a book. But try to keep in mind when you're posting on the Internet (to me or to others) that friends, acquaintances, or strangers might not have read the book yet.
Thank you!
Here's my schedule in case you'd rather scroll than click:
February 3, 2015
THE UNWANTEDS: ISLAND OF SHIPWRECKS Launch party and signing 6:00pm
Changing Hands Bookstore Tempe, AZ
February 4, 2015
HICKLEBEES — 3:00pm
1378 Lincoln Ave.
San Jose, CA 95129
(408) 292-8880
February 5, 2015
THE READING BUG — 5:30pm
785 Laurel Street
San Carlos, CA 94070
February 6, 2015
KEPLER'S BOOKS — 7:00pm
1010 El Camino Real
Menlo Park, CA 94025
(650) 324-4321
February 9, 2015
BARNES & NOBLE Arden Fair — 5:00pm
1725 Arden Way
Sacramento, CA 95815
February 11, 2015
WARWICKS — 4:00pm
7812 Girard Ave
La Jolla, CA 92037
February 12, 2015
BARNES & NOBLE Huntington Beach — 6:30pm
7881 Edinger Avenue
Huntington Beach, CA 92647
February 13, 2015
ONCE UPON A TIME — 7:00pm
2207 Honolulu Ave
Montrose, CA 91020
February 20, 2015
BARNES & NOBLE Desert Ridge — 7:00pm
21001 N Tatum Blvd
Phoenix, AZ 85050
March 5, 2015
BLUE WILLOW BOOKSHOP — 5:00pm
14532 Memorial Dr.
Houston, TX 77079
March 7, 2015
North Texas Teen Book Festival — 9:00am – 5:00pm
Irving Convention Center
500 W. Las Colinas Blvd.
Irving, TX 75039
March 15, 2015
University of Arizona campus
Tucson, AZ
10:30-11:00am Signing in the Mostly Books booth
What's Trending in YA Literature
Location: Education Room 333
Panelists: Jenny Han, E. Lockhart, Lisa McMann
Signing area: Signing Area – Children / Teen (following presentation)
Young adult literature is a constantly changing and exciting area of publishing. YA authors will talk about what's currently trending and their predictions for the next big trends.
A Conversation with Lisa McMann
Location: Teen and Author Meeting Place
Signing area: Sales & Signing Area – Central Mall (following presentation)
Interact with authors as they read aloud from their new books and answer questions
Creating Portals to Enter Fantasy Worlds
Location: Education Kiva
Panelists: Alice Hoffman, Maureen Johnson, Lisa McMann, Jennifer A. Nielsen
Signing area: Signing Area – Children / Teen (following presentation)
Authors can create all kinds of fantasy worlds and invite readers to suspend reality and enter their fantasy worlds in different ways.


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Conference Scheduling:
Please email me to set up a conference during conference time or after school Tuesday and Thursdays. Thank You!
Welcome to Art!
I have been teaching 19 years, with this being my 2nd year in Dickinson ISD. I have taught all aspects of Art over the years. I am really excited to introduce the creativity, craftsmanship, and imagination into the classroom.
Class Schedule:
1st period 7:55-8:49
2nd period 8:53-9:46
3rd period 9:50-10:43 (Conference)
4th period 10:47-11:40
B Lunch 11:44-12:14
5th period 12:18-11:11
6th period 1:115-2:08
7th period 2:12-3:05
Click Here for Syllabus
McAdams Junior High School - All Rights Reserved | 11415 Hughes Road |Dickinson, Texas 77539
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About this Event
Calling all business journalists from across North America! SABEW is organizing casual meetups on Thursday, Dec. 5. Come mingle over a drink, talk journalism and, of course, share your biggest stories of the year.
SABEW's 25th Best in Business Awards opens Dec. 2. Learn more about how to enter and get recognized for your outstanding work this year.
The New York event is being organized by SABEW Board Member Robert Barba, spot news editor at The Wall Street Journal and Dow Jones Newswires. For questions, email him at email@example.com. Hope to see you there!