Percolation on dense graph sequences

In this paper we determine the percolation threshold for an arbitrary sequence of dense graphs $(G_n)$. Let $\lambda_n$ be the largest eigenvalue of the adjacency matrix of $G_n$, and let $G_n(p_n)$ be the random subgraph of $G_n$ obtained by keeping each edge independently with probability $p_n$. W...

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Bibliographic Details
Main Authors: Bollobás, B, Borgs, C, Chayes, J, Riordan, O
Format: Journal article
Language:English
Published: 2007