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A new type of edge-derived vertex coloring
Authors:Ervin Gy?ri  Cory Palmer
Affiliation:a Hungarian Academy of Sciences, Alfréd Rényi Institute of Mathematics, P.O.B. 127, Budapest H-1364, Hungary
b Central European University, Department of Mathematics and its Applications, Nádor u. 9, Budapest H-1051, Hungary
Abstract:We study the minimum number of weights assigned to the edges of a graph G with no component K2 so that any two adjacent vertices have distinct sets of weights on their incident edges. The best possible upper bound on this parameter is proved.
Keywords:Edge coloring   Chromatic number   Edge-weighting
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