On the spectrum of Cayley graphs via character table

Document Type : Original Article


Department of Mathematics, Faculty of Science, Shahid RajaeeTeacher Training University, Tehran, 16785 – 136, I R. Iran


A Cayley graph can be consider as an interpretation of group representation. This means that one can construct the Cayley graph Г = Cay(G, S) by having the vertex set to be the elements of G with g~h if and only if hg-1 ε S. In this paper, we focus our attention on Cayley graphs with a normal symmetric subset. We also determine all eigenvalues of Buckminster fullerene by constructing Cay(G,S) where G is the alternating group A5.

Graphical Abstract

On the spectrum of Cayley graphs via character table


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Volume 4, 1-2
June 2014
Pages 1-11
  • Receive Date: 06 July 2013
  • Revise Date: 11 February 2014
  • Accept Date: 01 June 2014
  • First Publish Date: 01 June 2014