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Spectral Characterization of the Hamming Graphs

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Author Info
Bang, S.
Dam, E.R. van
Koolen, J.H. (Tilburg University, Center for Economic Research)

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Abstract

We show that the Hamming graph H(3; q) with diameter three is uniquely determined by its spectrum for q ? 36. Moreover, we show that for given integer D ? 2, any graph cospectral with the Hamming graph H(D; q) is locally the disjoint union of D copies of the complete graph of size q ! 1, for q large enough.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-81.

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Date of creation: 2007
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Handle: RePEc:dgr:kubcen:200781

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C0 - Mathematical and Quantitative Methods - - General

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This page was last updated on 2008-8-25.


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