Some sufficient conditions for graphs to have (g, f)-factors

Author:

Zhou Sizhong

Abstract

Suppose that G is a graph with vertex set V (G) and edge set E (G), and let g and f be two non-negative integer-valued functions defined on V (G) such that g (x) ≤ f (x) for each xV (G). A (g, f)-factor of G is a spanning subgraph F of G such that g (x) ≤ dF (x) ≤ f (x) for each xV (F). In this paper, some sufficient conditions for a graph to have a (g, f)-factor are given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. [9] Zhou S. and Xue X. , ‘(g, f)-factors of graphs with prescribed properties’, J. Systems Sci. Math. Sci. (to appear).

2. Subgraphs with prescribed valencies

3. Fractional ( g, f )-factors of graphs

4. [11] Zhou S. , ‘Randomly r-orthogonal (0, f)-factorizations of bipartite (0, mf − (m − 1) r)-graphs’, Ars Combin. (to appear).

5. Graph Theory with Applications

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