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

DOI: 10.4236/am.2014.51022   PDF   HTML     4,567 Downloads   5,662 Views  

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, .

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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.

References

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