The Characterization of Zero - Sum ( mod 2 ) Bipartite

نویسندگان

  • Yair Caro
  • Raphael Yuster
چکیده

Let G be a bipartite graph, with k j e(G). The zero-sum bipartite Ramsey number B(G; Z k) is the smallest integer t such that in every Z k-coloring of the edges of K t;t , there is a zero-sum mod k copy of G in K t;t. In this paper we give the rst proof which determines B(G; Z 2) for all possible bipartite graphs G. In fact, we prove a much more general result from which B(G; Z 2) can be deduced: Let G be a (not necessarily connected) bipartite graph, which can be embedded

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تاریخ انتشار 2007