The domination and competition graphs of a tournament
نویسندگان
چکیده
Vertices x and y dominate a tournament T if for all vertices z 6 = x; y; either x beats z or y beats z. Let dom(T) be the graph on the vertices of T with edges between pairs of vertices that dominate T. We show dom(T) is either an odd cycle with possible pendant vertices or a forest of caterpillars. Since dom(T) is the complement of the competition graph of the tournament formed by reversing the arcs of T , complementary results are obtained for the competition graph of a tournament.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 29 شماره
صفحات -
تاریخ انتشار 1998