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math.CO2014★ 3 cited
An Anti-Ramsey Problem Concerning Complete Bipartite Graphs
Stephan Cho, Jay Cummings, Colin Defant +1
We consider quadruples of positive integers with and such that any proper edge-coloring of the complete bipartite graph contains a rainbow…
math.CO2014
Cospectral regular graphs with and without a perfect matching
Zoltan L. Blazsik, Jay Cummings, Willem H. Haemers
For each we construct a pair of cospectral -regular graphs, where one has a perfect matching and the other one not. This solves a research problem posed by the third…