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上连通和超连通三次点传递图
引用本文:王大猛,孟吉翔.上连通和超连通三次点传递图[J].运筹学学报,2001,5(4):35-40.
作者姓名:王大猛  孟吉翔
作者单位:新疆大学数学系,新疆大学数学系 乌鲁木齐,830046,乌鲁木齐,830046
基金项目:Supported by NSFC and YSFEMU.
摘    要:图G称为上连通的,若对每个最小割集C,G-C有孤立点,G称为超连通的,若对每个最小割集C,G-C恰有两个连通分支,且其中之一为弧立点,本文刻划了上连通和超连通三次点传递图。

关 键 词:上连通  超连通  最小割集  三次点传递图

Superconnected and Hyperconnected Cubic Transitive Graphs
DAMENG WANG JIXIANG MENG.Superconnected and Hyperconnected Cubic Transitive Graphs[J].OR Transactions,2001,5(4):35-40.
Authors:DAMENG WANG JIXIANG MENG
Abstract:A graph G is said to be superconnected if for every minimum vertex cut C, G - C has isolated vertices. G is said to be hyperconnected if for every minimum vertex cut C of G, G - C has exactly two components one of which is an isolated vertex. Here, superconnected and /or hyperconnected cubic transitive graphs are characterized.
Keywords:Superconnected  hyperconnected  cubic  transitive graphs    
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