A reduced set of moves on one-vertex ribbon graphs coming from links
  Every link in R^3 can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams. 
Susan Abernathy, Cody Armond, Moshe Cohen, Oliver T. Dasbach, Hannah   Manuel, Chris Penn, Heather M. Russell, and Neal W. S...
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