82 citations · 513 across the 21 of their papers we have counts for
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Transfer matrix computation of critical polynomials for two-dimensional Potts models
Jesper Lykke Jacobsen, Christian R. Scullard
In our previous work we have shown that critical manifolds of the q-state Potts model can be studied by means of a graph polynomial P_B(q,v), henceforth referred to as the critical…
Potts critical frontiers of inhomogeneous and asymmetric bow-tie lattices
Christian R. Scullard, Jesper Lykke Jacobsen
We study the critical frontiers of the Potts model on two-dimensional bow-tie lattices with fully inhomogeneous coupling constants. Generally, for the Potts critical frontier to be…
The critical manifolds of inhomogeneous bond percolation on bow-tie and checkerboard lattices
Robert M. Ziff, Christian R. Scullard, John C. Wierman +1
We give a conditional derivation of the inhomogeneous critical percolation manifold of the bow-tie lattice with five different probabilities, a problem that does not appear at firs…
Transfer matrix computation of generalised critical polynomials in percolation
Christian R. Scullard, Jesper Lykke Jacobsen
Percolation thresholds have recently been studied by means of a graph polynomial , henceforth referred to as the critical polynomial, that may be defined on any periodic la…
The computation of generalized percolation critical polynomials by the deletion-contraction algorithm
Christian R. Scullard
Although every exactly known bond percolation critical threshold is the root in of a lattice-dependent polynomial, it has recently been shown that the notion of a critical…
Critical manifold of the kagome-lattice Potts model
Jesper Lykke Jacobsen, Christian R. Scullard
Any two-dimensional infinite regular lattice G can be produced by tiling the plane with a finite subgraph B of G; we call B a basis of G. We introduce a two-parameter graph polynom…