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

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DOI: 10.4236/am.2014.51022 4,485 Downloads 5,552 Views

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Jinguo Lei, Qingzhi Yu, Changhua Huang, Man Liu

Affiliation(s)

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.

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

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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