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A characterization of distance-regular graphs with diameter three

Author

Listed:
  • van Dam, E.R.

    (Tilburg University, Faculty of Economics)

  • Haemers, W.H.

    (Tilburg University, Faculty of Economics)

Abstract

We characterize the distance-regular graphs with diameter three by giving an expression for the number of vertices at distance two from each given vertex, in terms of the spectrum of the graph.
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Suggested Citation

  • van Dam, E.R. & Haemers, W.H., 1995. "A characterization of distance-regular graphs with diameter three," Research Memorandum FEW 695, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiurem:643d090b-2bda-4049-865b-e239e00a84fb
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    Cited by:

    1. van Dam, E.R. & Fiol, M.A., 2014. "The Laplacian spectral excess theorem for distance-regular graphs," Other publications TiSEM 6188707e-e0eb-4b5f-9b3b-4, Tilburg University, School of Economics and Management.
    2. van Dam, E.R., 2008. "The spectral excess theorem for distance-regular graphs : A global (over)view," Other publications TiSEM 35daf99b-ad28-4e21-8b1f-6, Tilburg University, School of Economics and Management.
    3. van Dam, E.R., 1997. "Three-Class Association Schemes," Research Memorandum 744, Tilburg University, School of Economics and Management.
    4. van Dam, E.R., 1995. "Bounds on separated pairs of subgraphs, eigenvalues and related polynomials," Other publications TiSEM b667448d-4797-4d27-9929-5, Tilburg University, School of Economics and Management.
    5. van Dam, E.R., 1998. "Bounds on special subsets in graphs, eigenvalues and association schemes," Other publications TiSEM e9bcdd9f-2de0-4750-9ea2-c, Tilburg University, School of Economics and Management.
    6. van Dam, E.R., 1995. "Bounds on separated pairs of subgraphs, eigenvalues and related polynomials," Research Memorandum FEW 699, Tilburg University, School of Economics and Management.

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