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Tricritical point in heterogeneous k-core percolation
Date
2011
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 ki. In this paper we identify a binary mixture of heterogeneous k-cores which exhibits a tricritical point. We investigate the new scaling scenario and calculate the relevant critical exponents, by analytical and computational methods, for Erdos-Rényi networks and 2d square lattices.
Supervisor
Description
peer-reviewed
Publisher
American Physical Society
Citation
Physical Review Letters;
Files
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2011_Cellai%20D.pdf
Adobe PDF, 796.93 KB
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Funding code
Funding Information
Science Foundation Ireland (SFI)