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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron: Bollobás, B, Borgs, C, Chayes, J, Riordan, O
Fformat: Journal article
Iaith:English
Cyhoeddwyd: 2007