Optimal shattering of complex networks

Author:

Balashov Nicole,Cohen Reuven,Haber Avieli,Krivelevich Michael,Haber SimiORCID

Abstract

Abstract We consider optimal attacks or immunization schemes on different models of random graphs. We derive bounds for the minimum number of nodes needed to be removed from a network such that all remaining components are fragments of negligible size.We obtain bounds for different regimes of random regular graphs, Erdős-Rényi random graphs, and scale free networks, some of which are tight. We show that the performance of attacks by degree is bounded away from optimality.Finally we present a polynomial time attack algorithm and prove its optimal performance in certain cases.

Funder

United States - Israel Binational Science Foundation

Israel Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computer Networks and Communications,Multidisciplinary

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Federated Byzantine Agreement Protocol Robustness to Targeted Network Attacks;2023 IEEE Symposium on Computers and Communications (ISCC);2023-07-09

2. Robustness of preferential-attachment graphs;Applied Network Science;2023-06-13

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