On the number of spiral self-avoiding walks

A. J. Guttmann; N. C. Wormald

doi:10.1088/0305-4470/17/5/010

On the number of spiral self-avoiding walks

A. J. Guttmann, N. C. Wormald

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33 Citations (Scopus)

Abstract

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 s_n=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 language	English
Article number	010
Journal	Journal of Physics A: Mathematical and General
Volume	17
Issue number	5
DOIs	https://doi.org/10.1088/0305-4470/17/5/010
Publication status	Published - 1984
Externally published	Yes

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10.1088/0305-4470/17/5/010

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title = "On the number of spiral self-avoiding walks",

abstract = "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.",

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AU - Wormald, N. C.

PY - 1984

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AB - 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.

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On the number of spiral self-avoiding walks

Abstract

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