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Some Results on (1,2n – 1)-Odd Factors

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DOI: 10.4236/am.2012.312255    2,408 Downloads   3,724 Views  

ABSTRACT

Let G be a graph. If there exists a spanning subgraph F such that dF(x) ∈ {1,3,…2n – 1}, then is called to be (1,2n – 1)-odd factor of G. Some sufficient and necessary conditions are given for G – U to have (1,2n – 1)-odd factor where U is any subset of V(G) such that |U| = k.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. Liu, Q. Yu, S. Wang and C. Huang, "Some Results on (1,2n – 1)-Odd Factors," Applied Mathematics, Vol. 3 No. 12, 2012, pp. 1874-1876. doi: 10.4236/am.2012.312255.

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