On the number of spiral self-avoiding walks
Anthony John Guttmann, N. C. Wormald · Journal of Physics A Mathematical and General · 1984
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.