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局部连通图的群Z_3-连通性
引用本文:黄明芳,周俊,欧卓玲,张童硕.局部连通图的群Z_3-连通性[J].数学杂志,2015,35(2):345-351.
作者姓名:黄明芳  周俊  欧卓玲  张童硕
作者单位:武汉理工大学理学院;电子科技大学数学科学学院
基金项目: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.

关 键 词:整数流  群连通  局部连通
收稿时间:2014/9/3 0:00:00
修稿时间:2014/11/20 0:00:00

GROUP Z3-CONNECTIVITY IN LOCALLY CONNECTED GRAPH
HUANG Ming-fang,ZHOU Jun,OU Zhuo-ling and ZHANG Tong-shuo.GROUP Z3-CONNECTIVITY IN LOCALLY CONNECTED GRAPH[J].Journal of Mathematics,2015,35(2):345-351.
Authors:HUANG Ming-fang  ZHOU Jun  OU Zhuo-ling and ZHANG Tong-shuo
Institution:HUANG Ming-fang;ZHOU Jun;OU Zhuo-ling;ZHANG Tong-shuo;School of Science,Wuhan University of Technology;College of Mathematical Science,University of Electronic Science and Technology of China;
Abstract: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.
Keywords:nowhere-zero-flow  group connectivity  locally connected
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