Enumerating 2D percolation series by the finite-lattice method: theory

Published under licence by IOP Publishing Ltd
, , Citation A Conway 1995 J. Phys. A: Math. Gen. 28 335 DOI 10.1088/0305-4470/28/2/011

0305-4470/28/2/335

Abstract

This paper describes a transfer-matrix algorithm for enumeration of series of interest in percolation on the square lattice. It allows efficient generation of both low-temperature and high-temperature expansions, as well as the combinatorially interesting enumeration of undirected animals by area or perimeter, with moments of the other property.

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