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(g, f)-Factors and [a, b]-Factors

  • Jin AkiyamaEmail author
  • Mikio Kano
Chapter
  • 1.1k Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 2031)

Abstract

In this chapter we investigate (g, f)-factors and [a, b]-factors, which are natural generalizations of f-factors and regular factors, respectively. We first give a criterion for a graph to have a (g, f)-factor, which is called the (g, f)-factor theorem. Then we obtain some sufficient conditions for graphs to have (g, f)- factors and [a, b]-factors.

Keywords

Bipartite Graph Regular Graph Simple Graph Disjoint Subset General Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Research Institute of Educational DevelopmentTokai UniversityTokyoJapan
  2. 2.Computer and Information SciencesIbaraki UniversityHitachiJapan

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