Regular Factors and f-Factors

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


In this chapter we consider regular factors and f-factors mainly in general graphs. For a positive integer k, a regular spanning subgraph, each of whose vertices has constant degree k, is called a k-regular factor or simply a k- factor (Fig. 3.1). In order to avoid confusion, we use “k-regular factors” in theorems, but often use “k-factors” in proofs or elsewhere.


Bipartite Graph Regular Graph Hamiltonian Cycle Simple Graph Disjoint Subset 
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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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