Geodesic
Distance powers and distance matrices of integral Cayley graphs over abelian groups
Walter Klotz1 ; Torsten Sander2
1Technische Universität Clausthal
2Ostfalia Hochschule für angewandte Wissenschaften
The electronic journal of combinatorics, Tome 19 (2012) no. 4
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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 : 10.37236/2369
Classification : 05C25, 05C50, 05C12
Mots-clés : Cayley graphs, graph eigenvalues, distance powers

Walter Klotz  1   ; Torsten Sander  2

1 Technische Universität Clausthal
2 Ostfalia Hochschule für angewandte Wissenschaften 
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     author = {Walter Klotz and Torsten Sander},
     title = {Distance powers and distance matrices of integral {Cayley} graphs over abelian groups},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {4},
     doi = {10.37236/2369},
     zbl = {1266.05058},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2369/}
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Walter Klotz; Torsten Sander. Distance powers and distance matrices of integral Cayley graphs over abelian groups. The electronic journal of combinatorics, Tome 19 (2012) no. 4. doi: 10.37236/2369

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