Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups

  • Walter Klotz
  • Torsten Sander
Keywords: Cayley graphs, Graph eigenvalues, Distance powers

Abstract

It is shown that distance powers of an integral Cayley graph over an abelian group $\Gamma$ are again integral Cayley graphs over $\Gamma$. Moreover, it is proved that distance matrices of integral Cayley graphs over abelian groups have integral spectrum.
Published
2012-11-08
Article Number
P25