Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups
Combinatorics
2012-06-21 v1
Abstract
It is shown that distance powers of an integral Cayley graph over an abelian group are again integral Cayley graphs over that group. Moreover, it is proved that distance matrices of integral Cayley graphs over abelian groups have integral spectrum.
Cite
@article{arxiv.1206.4398,
title = {Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups},
author = {W. Klotz and T. Sander},
journal= {arXiv preprint arXiv:1206.4398},
year = {2012}
}