Digraphs from Endomorphisms of Finite Cyclic Groups

Min Sha1
1Institut De Mathématiques De Bordeaux, Université Bordeaux 1, 351, Cours De La Libération, 33405 Talence Cedex, France

Abstract

We associate each endomorphism of a finite cyclic group with a digraph and study many properties of this digraph, including its adjacency matrix and automorphism group.

Keywords: cyclic group, digraph, tree, adjacency matrix, automorphism group.