Universal amplitude ratios for self-avoiding walks on the kagome lattice

We have calculated exactly the number, the mean-square end-to-end distance, 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 kagome lattice up to 30 steps. We have estimated the connective constant and the critical amplitudes. Our numerical results are consistent with the theoretical prediction by Cardy and Saleur (1989) on the universality for certain amplitude ratios.