Spreading of localized attacks on spatial multiplex networks with a community structure Dana Vaknin,1 Bnaya Gross,1 Sergey V.Buldyrev,2 and Shlomo Havlin1 1 Bar-Ilan University, Ramat Gan, Israel 2 Yeshiva University, New York, USA (Dated: December 13,...
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Spreading of localized attacks on spatial multiplex networks with a community structure Dana Vaknin,1 Bnaya Gross,1 Sergey V.Buldyrev,2 and Shlomo Havlin1 1 Bar-Ilan University, Ramat Gan, Israel 2 Yeshiva University, New York, USA (Dated: December 13, 2019) We study the effect of localized attacks on a multiplex spatial network, where each layer is a network of communities. The system is considered functional when the nodes belong to the giant component in all the multiplex layers. The communities are of linear size ζ, such that within them any pair of nodes are linked with same probability, and additionally nodes in nearby communities are arXiv:1912.05677v1 [physics.soc-ph] 11 Dec 2019 linked with a different (typically smaller) probability. This model can represent an interdependent infrastructure system of cities where within the city there are many links while between cities there are fewer links. We develop an analytical method, similar to the finite element method applied to a n
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