Resilience to damage of graphs with degree correlations -: art. no. 015101

Resilience to damage of graphs with degree correlations -: art. no. 015101
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DOI:
10.1103/physreve.67.015101
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发表时间:
2003-01-01
期刊:
影响因子:
2.4
通讯作者:
Moreno, Y
Moreno, Y
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Vázquez, A;Moreno, Y

文献摘要

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幂律相关图上是否存在渗流阈值是一个基本问题,目前缺乏通用的判定标准。在这项工作中,我们研究了具有度相关性的图上的位点渗流和键渗流问题,以及它们与传播现象的联系。我们得到了一些通用表达式,可用于计算转变阈值或其界限。利用这些结果,我们研究了同配和异配相关性对网络抗毁性的影响。
The existence or nonexistence of a percolation threshold on power law correlated graphs is a fundamental question for which a general criterion is lacking. In this work we investigate the problems of site and bond percolation on graphs with degree correlations and their connection with spreading phenomena. We obtain some general expressions that allow the computation of the transition thresholds or their bounds. Using these results we study the effects of assortative and disassortative correlations on the resilience to damage of networks.