Mathematical Sciences: Competition Graphs of Digraphs, BoundGraphs of Posets, and Related Problems in Clique Coverings
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This project addresses problems in three related areas: the                characterization of graphs which arise as upper bound graphs of                 posets; the characterization of graphs which are both the                       competition and the common enemy graph for the same acyclic                     digraph; and a more general investigation of graphs which arise                 as intersection graphs of edge clique coverings of a given graph.                    Competition graphs of digraphs are a tool for modeling                     complex systems such as food webs and transmission networks, and                also play a role in taxonomy problems.
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{'Name': 'Williams College', 'CityName': 'WILLIAMSTOWN', 'ZipCode': '012672600', 'PhoneNumber': '4135974352', 'StreetAddress': '880 MAIN ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'MA01', 'ORG_UEI_NUM': 'JVZEJJ6N5EM8', 'ORG_LGL_BUS_NAME': 'PRESIDENT & TRUSTEES OF WILLIAMS COLLEGE', 'ORG_PRNT_UEI_NUM': 'JVZEJJ6N5EM8'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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