新疆大学数学与系统科学学院,新疆大学数学与系统科学学院 新疆乌鲁木齐830046,新疆,乌鲁木齐,830046
纸质出版:2006
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[1]陈金阳,孟吉翔.变换图G~(++-)的超力连通性(英文)[J].新疆大学学报(自然科学版),2006(01):1-4.
陈金阳, 孟吉翔. 变换图G++-的超力连通性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2006, (1).
对于图G
一般有λ(G)≤δ(G).如果λ(G)=δ(G)
称图G是较大边连通的.如果G的每一个最小边割只能分离G的一个孤立点.称图G是超边连通的.本文证明了几乎所有的有限图G
其变换图G++-都是超边连通的.
For any graph G
λ(G)≤δ(G).A graph G is said to be maximally edge-connected if λ(G)=δ(G).A graph G is said to be super edge-connected if for every minimum edge cut T of G
G-T has isolated vertices.In this paper
we prove that for all but a few exceptions
the G~++- is super edge-connected where G~++-is transformation graph of a graph G introduced in [1].
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