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Spectral characterizations of the Hamming graph

Author

Listed:
  • Bang, S.
  • van Dam, E.R.

    (Tilburg University, School of Economics and Management)

  • Koolen, J.H.

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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Suggested Citation

  • Bang, S. & van Dam, E.R. & Koolen, J.H., 2008. "Spectral characterizations of the Hamming graph," Other publications TiSEM 036eb081-7943-4eec-8ada-3, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:036eb081-7943-4eec-8ada-3896c22307b3
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    References listed on IDEAS

    as
    1. van Dam, E.R. & Haemers, W.H. & Koolen, J.H. & Spence, E., 2005. "Characterizing Distance-Regularity of Graphs by the Spectrum," Discussion Paper 2005-19, Tilburg University, Center for Economic Research.
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    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

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