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Maximal independent sets in bipartite graphs. (English) Zbl 0783.05063
The author shows that a bipartite graph with $$n$$ vertices can have at most $$2^{[n/2]}$$ maximal independent sets of vertices and he characterizes the extremal graphs. He also solves the corresponding problem for connected bipartite graphs with $$n$$ vertices. M. Hujter and Zs. Tuza [SIAM J. Discrete Math. 6, 284-288 (1993; Zbl 0779.05025)] have considered the corresponding problem for triangle-free graphs.

##### MSC:
 05C35 Extremal problems in graph theory
##### Keywords:
bipartite graph; maximal independent sets; extremal graphs
Full Text:
##### References:
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