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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Guttmann et al. (1984) studied this question.
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