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二分图为k-消去图的2个条件

杨宏晨 薛秀谦

东南大学学报(英文版)2003,Vol.19Issue(2):197-199,3.
东南大学学报(英文版)2003,Vol.19Issue(2):197-199,3.

二分图为k-消去图的2个条件

Two conditions for a bipartite graph to be a k-deleted graph

杨宏晨 1薛秀谦1

作者信息

  • 1. 中国矿业大学理学院,徐州,221008
  • 折叠

摘要

Abstract

A k-regular spanning subgraph of graph G is called a k-factor of G. Graph G is called a k-deleted graph if G-e has a k-factor for each edge e. A graph G=(X,Y) with bipartition (X,Y) is called a bipartite graph if every edge of G has one endpoint in X and the other in Y.It is proved that a bipartite graph G=(X,Y) with X=Y is a k-deleted graph if and only if kS≤r1+2r2+...+k(rk+...+rΔ)-ε(S) for all SX. Using this result we give a sufficient neighborhood condition for a bipartite to be a k-deleted graph.

关键词

二分图/k-因子/k-消去图

Key words

bipartite graph/k-factor/k-deleted graph

分类

数理科学

引用本文复制引用

杨宏晨,薛秀谦..二分图为k-消去图的2个条件[J].东南大学学报(英文版),2003,19(2):197-199,3.

东南大学学报(英文版)

1003-7985

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