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Spectral bounds for percolation on directed and undirected graphs

Published 2 Mar 2015 in math-ph, math.MP, and physics.soc-ph | (1503.00410v1)

Abstract: We give several algebraic bounds for percolation on directed and undirected graphs: proliferation of strongly-connected clusters, proliferation of in- and out-clusters, and the transition associated with the number of giant components.

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