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Large Vertex-Disjoint Cycles in a Bipartite Graph

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Abstract.

Let s≥2 and k be two positive integers. Let G=(V 1,V 2;E) be a bipartite graph with |V 1|=|V 2|=ns k and the minimum degree at least (s−1)k+1. When s=2 and n >2k, it is proved in [5] that G contains k vertex-disjoint cycles. In this paper, we show that if s≥3, then G contains k vertex-disjoint cycles of length at least 2s.

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Received: March 2, 1998 Revised: October 26, 1998

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Wang, H. Large Vertex-Disjoint Cycles in a Bipartite Graph. Graphs Comb 16, 359–366 (2000). https://doi.org/10.1007/s003730070017

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  • DOI: https://doi.org/10.1007/s003730070017

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