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Small regular graphs with four eigenvalues

Author

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  • van Dam, E.R.

    (Tilburg University, School of Economics and Management)

  • Spence, E.

Abstract

For most feasible spectra of connected regular graphs with four distinct eigenvalues and at most 30 vertices we find all such graphs, using both theoretic and computer results.
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Suggested Citation

  • van Dam, E.R. & Spence, E., 1998. "Small regular graphs with four eigenvalues," Other publications TiSEM e95d4188-e7d9-4191-bba6-c, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:e95d4188-e7d9-4191-bba6-c22cc25aa3d2
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/254995/Small.pdf
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    References listed on IDEAS

    as
    1. van Dam, E.R., 1994. "Regular graphs with four eigenvalues," Research Memorandum FEW 659, Tilburg University, School of Economics and Management.
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    Cited by:

    1. 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.
    2. 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.
    3. van Dam, E.R. & Omidi, G.R., 2013. "Strongly walk-regular grapsh," Other publications TiSEM fbc6dff1-78cc-4d7c-a6c8-e, Tilburg University, School of Economics and Management.
    4. Haemers, W.H. & Kharaghani, H. & Meulenberg, M.A., 2010. "Divisible Design Graphs," Discussion Paper 2010-19, Tilburg University, Center for Economic Research.
    5. 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.
    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. & Spence, E., 2003. "Combinatorial Designs with Two Singular Values I. Uniform Multiplicative Designs," Discussion Paper 2003-67, Tilburg University, Center for Economic Research.
    8. 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.
    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. & 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.
    11. van Dam, E.R., 1997. "Three-Class Association Schemes," Research Memorandum 744, Tilburg University, School of Economics and Management.
    12. Estrada, Ernesto, 2007. "Graphs (networks) with golden spectral ratio," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1168-1182.
    13. 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.
    14. Haemers, W.H. & Kharaghani, H. & Meulenberg, M.A., 2010. "Divisible Design Graphs," Other publications TiSEM f3ab9fe7-be24-43f3-8eff-9, Tilburg University, School of Economics and Management.
    15. 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.

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    1. 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.
    2. Estrada, Ernesto, 2007. "Graphs (networks) with golden spectral ratio," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1168-1182.
    3. Bussemaker, F.C. & Haemers, W.H. & Spence, E., 1999. "The Search for Pseudo Orthogonal Latin Squares of Order Six," Other publications TiSEM eaa43e8f-0be1-4b54-a567-f, Tilburg University, School of Economics and Management.
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    7. van Dam, E.R. & Omidi, G.R., 2013. "Strongly walk-regular grapsh," Other publications TiSEM fbc6dff1-78cc-4d7c-a6c8-e, Tilburg University, School of Economics and Management.
    8. 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.
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    10. van Dam, E.R., 1997. "Three-Class Association Schemes," Research Memorandum 744, Tilburg University, School of Economics and Management.
    11. Bussemaker, F.C. & Haemers, W.H. & Spence, E., 1999. "The Search for Pseudo Orthogonal Latin Squares of Order Six," Research Memorandum 780, Tilburg University, School of Economics and Management.
    12. 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.
    13. Bussemaker, F.C. & Haemers, W.H. & Spence, E., 2000. "The search for pseudo orthogonal Latin squares of order six," Other publications TiSEM 860514f0-4ac6-4563-bf5c-b, Tilburg University, School of Economics and Management.
    14. Haemers, W.H. & Kharaghani, H. & Meulenberg, M.A., 2010. "Divisible Design Graphs," Discussion Paper 2010-19, Tilburg University, Center for Economic Research.
    15. 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.
    16. Peeters, M.J.P., 1994. "On the p-ranks of the adjacency matrices of distance-regular graphs," Research Memorandum FEW 656, Tilburg University, School of Economics and Management.
    17. 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.
    18. Peeters, M.J.P., 1994. "On the p-ranks of the adjacency matrices of distance-regular graphs," Other publications TiSEM d795b24f-e470-4ca8-a55b-5, Tilburg University, School of Economics and Management.
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    20. van Dam, E.R. & Spence, E., 1996. "Small Regular Graphs with Four Eigenvalues," Other publications TiSEM b0236991-9ca8-436e-b88b-3, Tilburg University, School of Economics and Management.

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