Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices

I. Jensen, A. J. Guttmann

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

We study self-avoiding and neighbour-avoiding walks and lattice trails on two semiregular lattices, the (3.122) lattice and the (4.82) lattice. For the (3.122) lattice we find the exact connective constant for both self-avoiding walks, neighbour-avoiding walks and trails. For the (4.82) lattice we generate long series which permit the accurate estimation of the connective constant for self-avoiding walks and trails.

Original languageEnglish
Pages (from-to)8137-8145
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number40
DOIs
Publication statusPublished - 9 Oct 1998
Externally publishedYes

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