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