局部连通图的群Z_3-连通性  

GROUP Z_3-CONNECTIVITY IN LOCALLY CONNECTED GRAPH

作　　者：黄明芳[1] 周俊[1] 欧卓玲[1] 张童硕 

机构地区：[1]武汉理工大学理学院,湖北武汉430070 [2]电子科技大学数学科学学院,四川成都611731

出　　处：《数学杂志》2015年第2期345-351,共7页Journal of Mathematics

基　　金：中央高校基本科研业务费专项资金(2013-Ia-009)

摘　　要：本文研究了局部连通图的群连通性的问题.利用不断收缩非平凡Z_3-连通子图的方法,在G是3-边连通且局部连通的无爪无沙漏图的情况下,获得了G不是群Z_3-连通的当且仅当G是K_4或W_5.推广了当G是2-边连通且局部3-边连通时,G是群Z_3-连通的这个结果.On this paper,we investigate group connectivity of locally connected groups.Suppose that G is a 3-edge-connected and locally connected simple graph with {H,K（1,3）}- free.By repeatedly contracting nontrivial Z3- connected subgraph of G,we obtain that G is not Z3-connected if and only if G is K4 or W5,which generalizes the result that G is Z3- connected if G is 2-edge-connected and locally 3-edge-connected.

关 键 词：整数流 群连通 局部连通 

分 类 号：O157.5[理学—数学]