Uni-directional Alternating Group Graphs

Shyh-Chain Chern, Tai-Ching Tuan, Jung-Sing Jwo

Abstract: A class of uni-directional Cayley graphs based on alternating groups is proposed in this paper. It is shown that this class of graphs is strongly connected and recursively scalable. The analysis of shortest distance between any pair of nodes in a graph of this class is also given. Based on the analysis, we develop a polynomial time routing algorithm which yields a path distance at most one more than the theoretic lower bound.