J4 ›› 2010, Vol. 45 ›› Issue (12): 5-11.

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The number of vertex-disjoint 6-cycles containing specified vertices in a balance bipartite graph

LU Jian-li, CAI Wen-juan   

  1. College of Mathematics and Information Science, Hennan Normal University, Xinxiang 453007, Hennan, China
  • Received:2009-12-14 Online:2010-12-16 Published:2011-03-16

Abstract:

The minimum degree condition for a balance bipartite graph having just  k vertex-disjoint cycles with s cycles being of length 4 and k-s cycles being of length 6 is given.

Key words: balance bipartite graph; vertex-disjoint cycles; quadrilateral; hexagon

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