“Melting” of complex networks. A mathematical model of complex networks resilience to external stress

作者:

Highlights:

• The theory of topological melting is applied to a large set of real-world networks.

• The rate of topological melting of real-world networks changes either as an exponential or as a power-law with the external stress.

• The main local driver for node melting is the eigenvector centrality.

• The most central nodes are the ones most at risk of triggering the melt down of the global network.

摘要

•The theory of topological melting is applied to a large set of real-world networks.•The rate of topological melting of real-world networks changes either as an exponential or as a power-law with the external stress.•The main local driver for node melting is the eigenvector centrality.•The most central nodes are the ones most at risk of triggering the melt down of the global network.

论文关键词:Networks,Phase transition,Spectral methods,Communicability

论文评审过程:Received 12 June 2019, Revised 1 July 2019, Accepted 7 July 2019, Available online 16 July 2019, Version of Record 16 July 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.124579