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

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


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.


Bipartite Graph Regular Graph Simple Graph Disjoint Subset General Graph 
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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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