SOME RESULTS ON FRACTIONAL n-FACTOR-CRITICAL GRAPHS

  • Yu, Jiguo (School of computer Science, Qufu Normal University) ;
  • Bian, Qiuju (School of Mathematics and Information science, Shandong University of Technology) ;
  • Liu, Guizhen (School of Mathematics and system Science, Shandong University) ;
  • Wang, Na (School of computer Science, Qufu Normal University)
  • Published : 2007.09.30

Abstract

A simple graph G is said to be fractional n-factor-critical if after deleting any n vertices the remaining subgraph still has a fractional perfect matching. For fractional n-factor-criticality, in this paper, one necessary and sufficient condition, and three sufficient conditions related to maximum matching, complete closure are given.

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