Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-09-07
Phys. Rev. E 67, 015101(R) (2003)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 1 figure
Scientific paper
10.1103/PhysRevE.67.015101
The existence or not of a percolation threshold on power law correlated graphs is a fundamental question for which a general criterion is lacking. In this work we investigate the problems of site and bond percolation on graphs with degree correlations and their connection with spreading phenomena. We obtain some general expressions that allow the computation of the transition thresholds or their bounds. Using these results we study the effects of assortative and disassortative correlations on the resilience to damage of networks.
Moreno Yamir
Vazquez Alexei
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