Disjoint cycles in star-free graphs
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Markus, Lisa R.; Snevily, Hunter S.
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Article
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1996
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John Wiley and Sons
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English
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A graph is claw-free if it does not contain K l , 3 as an induced subgraph. It is Kl,,-free if it does not contain K l , r as an induced subgraph. We show that if a graph is Kl,,-free ( r 2 4), only p + 2r -1 edges are needed to insure that G has t w o disjoint cycles. As an easy consequence w e ge