Tricritical point in heterogeneous k-core percolation
Disordered Systems and Neural Networks
2012-09-19 v2 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1106.1565,
title = {Tricritical point in heterogeneous k-core percolation},
author = {Davide Cellai and Aonghus Lawlor and Kenneth A. Dawson and James P. Gleeson},
journal= {arXiv preprint arXiv:1106.1565},
year = {2012}
}