J4 ›› 2008, Vol. 43 ›› Issue (5): 87-92 .doi:

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Vertex-disjoint 4-cycle in a bipartite graph

GENG Jian-yan1, YAN Jin2, LI Feng2   

  1. 1. Department of Mathematics, Wanjie Medical College of Shandong, Zibo 255213, Shandong, China;2.School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: GENG Jian-yan

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Abstract:

A set of sub-graphs of G is said to be independent or vertex-disjoint if no two of them have a common vertex in G. It gives the minimum degree condition for a bipartite graph containing k independent 4-cycle, each of which contains a previously specified vertex.

Key words: independent cycles; bipartite graph; balance bipartite graph; vertex admissible cycle

CLC Number: 

  • O157.5
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