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

I. Jensen, A. J. Guttmann

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


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
Issue number40
Publication statusPublished - 9 Oct 1998
Externally publishedYes


Dive into the research topics of 'Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices'. Together they form a unique fingerprint.

Cite this