A new transfer-matrix algorithm for exact enumerations: self-avoiding polygons on the square lattice

Nathan Clisby, Iwan Jensen

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We present a new and more efficient implementation of transfer-matrix methods for exact enumerations of lattice objects. The new method is illustrated by an application to the enumeration of self-avoiding polygons on the square lattice. A detailed comparison with the previous best algorithm shows significant improvement in the running time of the algorithm. The new algorithm is used to extend the enumeration of polygons to length 130 from the previous record of 110.

Original languageEnglish
Article number115202
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number11
DOIs
Publication statusPublished - 28 Feb 2012
Externally publishedYes

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