On the number of spiral self-avoiding walks

A. J. Guttmann, N. C. Wormald

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The authors consider the problem of spiral self-avoiding walks as recently introduced by Privman (1983). They prove that the number of n-step spiral self-avoiding walks is given by sn=exp(2 pi (n/3)12/)/ (n74/c)(1+O(1/ square root n)) where c= pi /(4.354/). Similar results for various subsets of these walks are also obtained.

Original languageEnglish
Article number010
JournalJournal of Physics A: Mathematical and General
Issue number5
Publication statusPublished - 1984
Externally publishedYes

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