On a kind of reliability analysis of networks

On a kind of reliability analysis of networks
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一种网络可靠性分析

DOI:
10.1016/j.amc.2011.08.010
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发表时间:
2011-11
影响因子:
4
通讯作者:
Guo, Xiaofeng
Guo, Xiaofeng
中科院分区:
数学2区
文献类型:
--
作者:
Guo, Litao;Yang, Weihua;Guo, Xiaofeng

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A network is often modeled by a graph G=(V,E). An edge set F⊂E is a 3-restricted edge cut, if G−F is disconnected and every component of G−F has at least three vertices. The 3-restricted edge connectivity λ3(G) of G is the cardinality of a minimum 3-restricted edge cut of G. A graph G is λ3-connected, if 3-restricted edge cuts exist. A graph G is called λ3-optimal, if λ3(G)=ξ3(G), whereG[U] is the subgraph of G induced by the vertex subset U⊆V, and U¯=V⧹U is the complement of U·[U,U¯] is the set of edges with one end in U and the other in U¯. In this paper, we give some sufficient conditions for graphs to be λ3-optimal.
DOI: 10.1016/s0012-365x(02)00299-6
发表时间: 2002-12
期刊: Discret. Math.
影响因子: --
作者:
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DOI: 10.1016/s0012-365x(02)00385-0
发表时间: 2002-09
期刊: Discret. Math.
影响因子: --
作者:
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通讯作者: P. Bonsma;Nicola Ueffing;L. Volkmann
DOI: --
发表时间: 1987
期刊: --
影响因子: --
作者:
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DOI: 10.1016/0020-0190(88)90025-7
发表时间: 1988-04-08
影响因子: 0.5
作者:
ESFAHANIAN, AH;HAKIMI, SL
通讯作者: HAKIMI, SL