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math.CO2005★ 16 cited
Lune -- Free Knot Graphs
Shalom Eliahou, Frank Harary, Louis H. Kauffman
This paper is an exploration of simple four-regular graphs in the plane (i.e. loopless and with no more than one edge between any two nodes). Such graphs are fundamental to the the…
math.CO2004
On the Lengths of Symmetry Breaking-Preserving Games on Graphs
Frank Harary, Wolfgang Slany, Oleg Verbitsky
Given a graph , we consider a game where two players, and , alternatingly color edges of in red and in blue respectively. Let be the maximum number of moves in…