On the number of maximal bipartite subgraphs of a graph
نویسندگان
چکیده
We show new lower and upper bounds on the number of maximal induced bipartite subgraphs of graphs with n vertices. We present an infinite family of graphs having 105n/10 ≈ 1.5926n such subgraphs, which improves an earlier lower bound by Schiermeyer (1996). We show an upper bound of n·12n/4 ≈ n·1.8613n and give an algorithm that lists all maximal induced bipartite subgraphs in time proportional to this bound. This is used in an algorithm for checking 4-colourability of a graph running within the same time bound.
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عنوان ژورنال:
- Journal of Graph Theory
دوره 48 شماره
صفحات -
تاریخ انتشار 2005