### 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)^{1}2/)/ (n^{7}4/c)(1+O(1/ square root n)) where c= pi /(4.3^{5}4/). Similar results for various subsets of these walks are also obtained.

Original language | English |
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Article number | 010 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 17 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1984 |

Externally published | Yes |

## Cite this

Guttmann, A. J., & Wormald, N. C. (1984). On the number of spiral self-avoiding walks.

*Journal of Physics A: Mathematical and General*,*17*(5), [010]. https://doi.org/10.1088/0305-4470/17/5/010