Generalization of matching extensions in graphs (III)

  • Authors:
  • Bing Bai;Hongliang Lu;Qinglin Yu

  • Affiliations:
  • Center for Combinatorics, LPMC, Nankai University, Tianjin, PR China;Department of Mathematics, Xian Jiaotong University, Xian, PR China;Department of Mathematics and Statistics, Thompson Rivers University, Kamloops, BC, Canada and School of Mathematics, Shandong University, Jinan, Shandong, PR China

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2011

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Abstract

Proposing them as a general framework, Liu and Yu (2001) [6] introduced (n,k,d)-graphs to unify the concepts of deficiency of matchings, n-factor-criticality and k-extendability. Let G be a graph and let n,k and d be non-negative integers such that n+2k+d+2=