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一族一致最可靠网络

A family of uniformly optimally reliable networks
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摘要 n个结点e条边的简单图的集合记为.设奇数,G的补图是,则G是中唯一的一致最可靠图. Let G be a graph. The nodes of G are perfectly reliable and the edges operate independently of each another, all with the same probability p. The all-terminal reliability R(G,p) is the probability that the surviving edges induce a spanning connected subgraph of G. Letbe an odd integer and .Suppose G is a graph with n nodes and e edges, the complement of G is . Then for all with n nodes and e edges for all .
作者 陈协彬
出处 《漳州师范学院学报(自然科学版)》 2001年第4期1-4,共4页 Journal of ZhangZhou Teachers College(Natural Science)
基金 福建省自然科学基金资助项目
关键词 可靠性 一致最可靠网络 简单图 补图 概率图 all-terminal reliability, uniformly optimally reliable network MR (1991) Subject Classification: 05C90, 90B25
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参考文献4

  • 1F.T. Boesch, X.Li, C.Suffer, On the existence of uniformly optimally reliable networks. Networks [J] 21 (1991) 181-194
  • 2W. Myrvold, K.H.Cheung, L.B.Page, Jo E.perry, Uniformly-most reliable networks do not always exist. Networks [J] 21(1991) 417-419
  • 3A.Satyanarayana, L.Schoppmann, C.L.Suffer, A reliability-improving graph transformation with applications to network reliability. Networks [J] 22(1992)209-216
  • 4G.Wang, A proof of Boesch's conjecture. Networks [J] 24(1994) 277-284

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