  We investigate the probability for appearance of knots in self-avoiding loops
(SALs) on a cubic lattice. A set of N-step loops is generated by attempting to
combine pairs of (N/2)-step self-avoiding walks constructed by a dimerization
method. We demonstrate that our method produces unbiased samples of SALs, and
study the knot formation probability as a function of loop size. Our results
corroborate the conclusions of Yao et. al. with loops generated by a Monte
Carlo method.
