Cascades on correlated and modular random networks

被引：166

作者：

Gleeson, James P. ^{[1
]}

机构：

[1] Univ Limerick, Dept Math & Stat, Limerick, Ireland

来源：

PHYSICAL REVIEW E | 2008年 / 77卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.77.046117

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

An analytical approach to determining the mean avalanche size in a broad class of dynamical models on random networks is introduced. Previous results on percolation transitions and epidemic sizes are shown to be special cases of the method. The time-dependence of cascades and extensions to networks with community structure or degree-degree correlations are discussed. Analytical results for the rate of spread of innovations in a modular network and for the size of k cores in networks with degree-degree correlations are confirmed with numerical simulations.

引用

页数：10

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