Table of Contents Author Guidelines Submit a Manuscript
Journal of Mathematics
Volume 2017, Article ID 6454736, 4 pages
Research Article

An Interesting Property of a Class of Circulant Graphs

Department of Mathematics, Lorestan University, Khoramabad, Iran

Correspondence should be addressed to Ali Zafari;

Received 22 July 2016; Accepted 22 January 2017; Published 27 February 2017

Academic Editor: Michel Bauer

Copyright © 2017 Seyed Morteza Mirafzal and Ali Zafari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Suppose that and are two Cayley graphs on the cyclic additive group , where is an even integer, , , and are the inverse-closed subsets of . In this paper, it is shown that is a distance-transitive graph, and, by this fact, we determine the adjacency matrix spectrum of . Finally, we show that if and is an even integer, then the adjacency matrix spectrum of is , , , (we write multiplicities as exponents).