Ky. Lin et Jx. Huang, UNIVERSAL AMPLITUDE RATIOS FOR SELF-AVOIDING WALKS ON THE KAGOME LATTICE, Journal of physics. A, mathematical and general, 28(13), 1995, pp. 3641-3643
We have calculated exactly the number, the mean-square end-to-end dist
ance, the mean-square radius of gyration, and the mean-square distance
of a monomer from the origin, for n-step self-avoiding walks on the k
agome lattice up to 30 steps. We have estimated the connective constan
t and the critical amplitudes. Our numerical results are consistent wi
th the theoretical prediction by Cardy and Saleur on the universality
for certain amplitude ratios.