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

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

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.

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Veröffentlicht in:The Electronic journal of combinatorics 2012-11, Vol.19 (4)
Hauptverfasser: Klotz, Walter, Sander, Torsten
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1077-8926
1077-8926
DOI:10.37236/2369