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简化图的一个注记

李霄民 李登信

数学杂志2011,Vol.31Issue(4):606-610,5.
数学杂志2011,Vol.31Issue(4):606-610,5.

简化图的一个注记

A NOTE ON REDUCED GRAPHS

李霄民 1李登信1

作者信息

  • 1. 重庆工商大学数学与统计学院,重庆400067
  • 折叠

摘要

Abstract

In this article, we investigate the properties of the reduced graph G with F(G) =3. By the method of the contraction, two properties on the reduced graph G with F(G) = 3 are given. Also, as an application, a property on a 3-edge-connected reduced graph with at most 10 vertices of degree 3 is given. These results extend some earlier results on F(G) ≤ 2 by Catlin and by Lai.

关键词

超欧拉图/可折叠图/简化图/边割

Key words

super-eulerian/collapsible/reduced/edge-cut

分类

数理科学

引用本文复制引用

李霄民,李登信..简化图的一个注记[J].数学杂志,2011,31(4):606-610,5.

基金项目

Supported by Science Foundation Chongqing Education Committee(K J100725). (K J100725)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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