title: Tricritical point in heterogeneous k-core percolation.
abstract: k-core percolation is an extension of the concept of classical percolation and is particularly relevant to understanding 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 Letter 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 Erdős-Rényi networks and 2D square lattices.
authors: MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland.
authors: Davide
authors: D
authors: Cellai
authors: Aonghus
authors: A
authors: Lawlor
authors: Kenneth A
authors: KA
authors: Dawson
authors: James P
authors: JP
authors: Gleeson