%0 Journal Article
%T 局部连通图的群Z3-连通性<br>GROUP Z3-CONNECTIVITY IN LOCALLY CONNECTED GRAPH
%A 作者
%A 黄明芳
%A 周俊
%A 欧卓玲
%A 张童硕
%J 数学杂志
%D 2015
%X 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Z3-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Z3-连通的当且仅当G是K4或W5.推广了当G是2-边连通且局部3-边连通时,G是群Z3-连通的这个结果.<br>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,K1,3}-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
%K 整数流 群连通 局部连通&lt
%K br&gt
%K nowhere-zero-flow group connectivity locally connected
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150214&flag=1