On the Arrangement Graph

Abstract The arrangement graph was proposed as a generalization of the star graph topology. In this paper we investigate the topological properties of the (n, k)-arrangement graph An,k. It has been shown that the (n, n − 2)-arrangement graph An,n − 2 is isomorphic to the n-alternating group graph AGn. In addition, the exact value of average distance of An,k has been derived.