  Many regular graphs admit a natural partition of their edge set into cliques
of the same order such that each vertex is contained in the same number of
cliques. In this paper, we study the mixing rate of certain random walks on
such graphs and we generalize previous results of Alon, Benjamini, Lubetzky and
Sodin regarding the mixing rates of non-backtracking random walks on regular
graphs.

Combinatorics;Discrete Mathematics;Probability