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Nonregular Graphs with Three Eigenvalues

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  • van Dam, E.R.

    (Tilburg University, Faculty of Economics)

Abstract

We study nonregular graphs with three eigenvalues.We determine all the ones with least eigenvalue -2, and give new infinite families of examples.
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Suggested Citation

  • van Dam, E.R., 1997. "Nonregular Graphs with Three Eigenvalues," Research Memorandum 746, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiurem:83d0a9e3-5f23-43dc-ad69-ad5f650904c4
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/526667/746.pdf
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    References listed on IDEAS

    as
    1. van Dam, E.R., 1996. "Graphs with few eigenvalues : An interplay between combinatorics and algebra," Other publications TiSEM 93358bfe-49d3-4164-bc75-c, Tilburg University, School of Economics and Management.
    2. van Dam, E.R. & Haemers, W.H., 1998. "Graphs with constant mu and mu-bar," Other publications TiSEM 3cba5bf4-ad2f-465d-a9a2-a, Tilburg University, School of Economics and Management.
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    Citations

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    Cited by:

    1. van Dam, E.R. & Spence, E., 2003. "Combinatorial Designs with Two Singular Values I. Uniform Multiplicative Designs," Discussion Paper 2003-67, Tilburg University, Center for Economic Research.
    2. Haemers, W.H. & Omidi, G.R., 2010. "Universal Adjacency Matrices with Two Eigenvalues," Other publications TiSEM 932a73a8-9fae-44ec-9ce5-7, Tilburg University, School of Economics and Management.
    3. van Dam, E.R. & Spence, E., 2003. "Combinatorial Designs with Two Singular Values II. Partial Geometric Designs," Other publications TiSEM fec47f57-9bec-453d-8275-8, Tilburg University, School of Economics and Management.
    4. van Dam, E.R. & Spence, E., 2003. "Combinatorial Designs with Two Singular Values II. Partial Geometric Designs," Discussion Paper 2003-94, Tilburg University, Center for Economic Research.
    5. van Dam, E.R. & Spence, E., 2003. "Combinatorial Designs with Two Singular Values I. Uniform Multiplicative Designs," Other publications TiSEM 87fabd1b-6be0-4f99-b7a8-5, Tilburg University, School of Economics and Management.
    6. van Dam, E.R. & Haemers, W.H., 2002. "Which Graphs are Determined by their Spectrum?," Discussion Paper 2002-66, Tilburg University, Center for Economic Research.
    7. van Dam, E.R. & Omidi, G.R., 2011. "Graphs whose normalized laplacian has three eigenvalues," Other publications TiSEM d3b7fa76-22b5-4a9a-8706-a, Tilburg University, School of Economics and Management.
    8. Réti, Tamás, 2019. "On some properties of graph irregularity indices with a particular regard to the σ-index," Applied Mathematics and Computation, Elsevier, vol. 344, pages 107-115.
    9. Haemers, W.H. & Omidi, G.R., 2010. "Universal Adjacency Matrices with Two Eigenvalues," Discussion Paper 2010-119, Tilburg University, Center for Economic Research.
    10. van Dam, E.R. & Haemers, W.H., 2002. "Which Graphs are Determined by their Spectrum?," Other publications TiSEM f163dbe4-3669-4a99-bc19-7, Tilburg University, School of Economics and Management.
    11. van Dam, E.R. & de Caen, D. & Spence, E., 1999. "A nonregular analogue of conference graphs," Other publications TiSEM 2354d510-0aeb-4504-917d-5, Tilburg University, School of Economics and Management.

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    Keywords

    graphs; eigenvalues;

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