Game chromatic index of k-degenerate graphs
نویسندگان
چکیده
We consider the following edge coloring game on a graph G. Given t distinct colors, two players Alice and Bob, with Alice moving ®rst, alternately select an uncolored edge e of G and assign it a color different from the colors of edges adjacent to e. Bob wins if, at any stage of the game, there is an uncolored edge adjacent to colored edges in all t colors; otherwise Alice wins. Note that when Alice wins, all edges of G are properly colored. The game chromatic index of a graph G is the minimum number of colors for which Alice has a winning strategy. In this paper, we study the
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عنوان ژورنال:
- Journal of Graph Theory
دوره 36 شماره
صفحات -
تاریخ انتشار 2001