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