新疆大学数学与系统科学学院
纸质出版:2008
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[1]田应智,孟吉翔.上连通和超连通六次点传递图(英文)[J].新疆大学学报(自然科学版),2008,No.111(03):253-262.
田应智, 孟吉翔. 上连通和超连通六次点传递图(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2008, 111(3): 253-262.
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
且其中之一为孤立点.本文刻画了上连通或超连通六次点传递图.
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. In this paper
we characterize superconnected or hyperconnected vertex transitive graphs with degree 6.
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