2008/10/09 by A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes · 1 citation
Physics and Astronomy · Mathematics · #cond-mat.stat-mech #math.PR #physics.soc-ph
paper · pdf · doi:10.1103/physreve.78.051105
published as Phys. Rev. E 78, 051105 (2008) · 14 pages, 6 figures
arxiv created 2008/10/09 · arxiv updated 2009/12/01
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.