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

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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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Correspondence to Jin Akiyama .

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© 2011 Springer-Verlag Berlin Heidelberg

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Akiyama, J., Kano, M. (2011). (g, f)-Factors and [a, b]-Factors. In: Factors and Factorizations of Graphs. Lecture Notes in Mathematics(), vol 2031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21919-1_4

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