64 citations · 132 across the 3 of their papers we have counts for
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cond-mat.dis-nn2008★ 34 cited
Critical surfaces for general bond percolation problems
Christian R. Scullard, Robert M. Ziff
We present a general method for predicting bond percolation thresholds and critical surfaces for a broad class of two-dimensional periodic lattices, reproducing many known exact re…
cond-mat.dis-nn2006★ 64 cited
Exact bond percolation thresholds in two dimensions
Robert M. Ziff, Christian R. Scullard
Recent work in percolation has led to exact solutions for the site and bond critical thresholds of many new lattices. Here we show how these results can be extended to other classe…
cond-mat.dis-nn2006★ 34 cited
Predictions of bond percolation thresholds for the kagomé and Archimedean lattices
Christian R. Scullard, Robert M. Ziff
Here we show how the recent exact determination of the bond percolation threshold for the martini lattice can be used to provide approximations to the unsolved kagomé and (3,12^2)…