554 citations · 1.7k across the 51 of their papers we have counts for
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math.PR2007★ 30 cited
Rigorous confidence intervals for critical probabilities
Oliver Riordan, Mark Walters
We use the method of Balister, Bollobas and Walters to give rigorous 99.9999% confidence intervals for the critical probabilities for site and bond percolation on the 11 Archimedea…
math.PR2007★ 12 cited
Line-of-sight percolation
Bela Bollobas, Svante Janson, Oliver Riordan
Given , let be the graph with vertex set in which two vertices are joined if they agree in one coordinate and differ by at most in the other. (Thus $Z…
math.PR2007★ 100 cited
Percolation on dense graph sequences
Béla Bollobás, Christian Borgs, Jennifer Chayes +1
In this paper we determine the percolation threshold for an arbitrary sequence of dense graphs . Let be the largest eigenvalue of the adjacency matrix of , and le…