A neighborhood condition for graphs to have [a, b]-factors

Haruhide Matsuda

Research output: Contribution to journal › Article

17 Citations (Scopus)

Abstract

Let G be a graph of order n, and let a and b be integers such that 1 ≤ a < b. Then we prove that G has an [a, b]-factor if the minimum degree δ(G) ≥ a, n ≥ 2(a + b)(a + b - 1)/b and |NG(X) ∪ NG(y)| ≥ an/(a + b) for any two non-adjacent vertices x and y of G. This result is best possible in some sense and it is an extension of the result of Li and Cai (A degree condition for a graph to have [a, b]-factors, J. Graph Theory 27 (1998) 1-6).

Original languageEnglish
Pages (from-to)289-292
Number of pages4
JournalDiscrete Mathematics
Volume224
Issue number1-3
Publication statusPublished - 2000 Sep 28
Externally publishedYes

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Graph theory

Keywords

  • [a, b]-factor
  • Factor
  • Graph
  • Neighborhood

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

A neighborhood condition for graphs to have [a, b]-factors. / Matsuda, Haruhide.

In: Discrete Mathematics, Vol. 224, No. 1-3, 28.09.2000, p. 289-292.

Research output: Contribution to journal › Article

Matsuda, H 2000, 'A neighborhood condition for graphs to have [a, b]-factors', Discrete Mathematics, vol. 224, no. 1-3, pp. 289-292.
Matsuda H. A neighborhood condition for graphs to have [a, b]-factors. Discrete Mathematics. 2000 Sep 28;224(1-3):289-292.
Matsuda, Haruhide. / A neighborhood condition for graphs to have [a, b]-factors. In: Discrete Mathematics. 2000 ; Vol. 224, No. 1-3. pp. 289-292.
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