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.