Forbidden induced bipartite graphs
نویسنده
چکیده
Given a fixed bipartite graph H, we study the asymptotic speed of growth of the number of bipartite graphs on n vertices which do not contain an induced copy of H. Whenever H contains either a cycle or the bipartite complement of a cycle, the speed of growth is 2Ω(n 6 5 ). For every other bipartite graph except the path on seven vertices, we are able to find both upper and lower bounds of the form ncn+o(n). In many cases we are able to determine the correct value of c.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 60 شماره
صفحات -
تاریخ انتشار 2009