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arXiv · 1106.1565

Tricritical point in heterogeneous k-core percolation

Davide Cellai·Aonghus Lawlor·Kenneth A. Dawson·James P. Gleeson
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Abstract

k-core percolation is an extension of the concept of classical percolation and is particularly relevant to understand the resilience of complex networks under random damage. A new analytical formalism has been recently proposed to deal with heterogeneous k-cores, where each vertex is assigned a local threshold k_i. In this paper we identify a binary mixture of heterogeneous k-core which exhibits a tricritical point. We investigate the new scaling scenario and calculate the relevant critical exponents, by analytical and computational methods, for Erdos-Renyi networks and 2d square lattices.

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Davide Cellai, Aonghus Lawlor, Kenneth A. Dawson, James P. Gleeson. 2011-09-07. Tricritical point in heterogeneous k-core percolation. https://doi.org/10.1103/physrevlett.107.175703

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