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

Affiliation(s)

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

Department of Aerial Ammunition, Air Force Logistic College, Xuzhou, China.

Department of Fundamental Courses, Air Force Logistic College, Xuzhou, China.

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

Department of Aerial Ammunition, 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, .

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.

J. Lei, Q. Yu, C. Huang and M. Liu, "A Neighborhood Condition for Graphs to Have Special [a,b]-Factor,"

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