43 citations · 71 across the 8 of their papers we have counts for
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cond-mat.stat-mech2007★ 43 cited
Estimation of Bond Percolation Thresholds on the Archimedean Lattices
Robert Parviainen
We give accurate estimates for the bond percolation critical probabilities on seven Archimedean lattices, for which the critical probabilities are unknown, using an algorithm of Ne…
cond-mat.stat-mech2004★ 8 cited
Self-avoiding walks and trails on the 3.12 lattice
Anthony J. Guttmann, Robert Parviainen, Andrew Rechnitzer
We find the generating function of self-avoiding walks and trails on a semi-regular lattice called the lattice in terms of the generating functions of simple graphs, such…