Bipartite Graph Tiling

نویسنده

  • Yi Zhao
چکیده

For each s ≥ 2, there exists m0 such that the following holds for all m ≥ m0: Let G be a bipartite graph with n = ms vertices in each partition set. If m is odd and minimum degree δ(G) ≥ n+3s 2 − 2, then G contains m vertex-disjoint copies of Ks,s. If m is even, the same holds under the weaker condition δ(G) ≥ n/2+ s− 1. This is sharp and much stronger than a conjecture of Wang [25] (for large n).

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عنوان ژورنال:
  • SIAM J. Discrete Math.

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2009