English

A Note On Edge Connectivity and Parity Factor

Combinatorics 2013-02-01 v1

Abstract

In this paper, we investigate some parity factors by using Lov\'asz's (g,f)-parity theorem. Let m>0m>0 be an integer. Firstly, we obtain a sufficient and necessary condition for some graphs to have a parity factor with restricted minimum degree. Secondly, we obtain some sufficient conditions for a graph to have a parity factor with minimum degree mm in term of edge connectivity.

Keywords

Cite

@article{arxiv.1301.7565,
  title  = {A Note On Edge Connectivity and Parity Factor},
  author = {Hongliang Lu},
  journal= {arXiv preprint arXiv:1301.7565},
  year   = {2013}
}

Comments

5 pages

R2 v1 2026-06-21T23:18:29.223Z