文章基本信息

标题：Explicit size distributions of failure cascades redefine systemic risk on finite networks
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作者：Rebekka Burkholz ; Hans J. Herrmann ; Frank Schweitzer 等
期刊名称：Scientific Reports
电子版ISSN：2045-2322
出版年度：2018
卷号：8
期号：1
页码：6878
DOI：10.1038/s41598-018-25211-3
语种：English
出版社：Springer Nature
摘要：and different cascade models, i.e. it is relevant for most real systems. To show this, we derive explicit closed-form solutions for the full probability distribution of the final cascade size. We focus on two topological limit cases, the complete network representing a dense network with a very narrow degree distribution, and the star network representing a sparse network with a inhomogeneous degree distribution. Those topologies are of great interest, as they either minimize or maximize the average cascade size and are common motifs in many real world networks.