Percolation on correlated networks

Abstract

We reconsider the problem of percolation on an equilibrium random network with degree-degree correlations between nearest-neighboring vertices focusing on critical singularities at a percolation threshold. We obtain criteria for degree-degree correlations to be irrelevant for critical singularities. We present examples of networks in which assortative and disassortative mixing leads to unusual percolation properties and new critical exponents.

Locations

• Physical Review E - View
• arXiv (Cornell University) - View - PDF
• PubMed - View
• DataCite API - View