A Neighborhood Condition for Graphs to Have Special [a,b]-Factor

Jinguo Lei; Qingzhi Yu; Changhua Huang; Man Liu

doi:10.4236/am.2014.51022

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Applied Mathematics > Vol.5 No.1, January 2014

A Neighborhood Condition for Graphs to Have Special [a,b]-Factor ()

Jinguo Lei, Qingzhi Yu, Changhua Huang, Man Liu

Department of Aerial Ammunition, Air Force Logistic College, Xuzhou, China.
Department of Aerial Four Station Support, Xuzhou Air Force Logistic College, Xuzhou, China.
Department of Fundamental Courses, Air Force Logistic College, Xuzhou, China.

DOI: 10.4236/am.2014.51022 PDF HTML 4,601 Downloads 5,730 Views Citations

Abstract

Let G be a graph of order n, and let a and b be integers, such that 1 ≤ a < b. Let H be a subgraph of G with m(≤b) edges, and δ(G) be the minimum degree. We prove that G has a [a,b]-factor containing all edges of H if , , and when a ≤ 2, .

Keywords

Graph; Factor; [a, b]-Factor; The Minimum Degree; Neighborhood Condition

Share and Cite:

J. Lei, Q. Yu, C. Huang and M. Liu, "A Neighborhood Condition for Graphs to Have Special [a,b]-Factor," Applied Mathematics, Vol. 5 No. 1, 2014, pp. 212-215. doi: 10.4236/am.2014.51022.

Conflicts of Interest

The authors declare no conflicts of interest.

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