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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container_title	The Electronic journal of combinatorics
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creator	Klotz, Walter Sander, Torsten
description	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.
doi_str_mv	10.37236/2369
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title	Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups
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