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Regular graphs with four eigenvalues

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Author Info

  • Dam, E.R. van

    (Tilburg University, Faculty of Economics and Business Administration)

Abstract

We study the connected regular graphs with four distinct eigenvalues. Properties and feasibility conditions of the eigenvalues are found. Several examples, constructions and characterizations are given, as well as some uniqueness and nonexistence results.

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Bibliographic Info

Paper provided by Tilburg University, Faculty of Economics and Business Administration in its series Research Memorandum with number 659.

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Date of creation: 1994
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Handle: RePEc:dgr:kubrem:1994659

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Web page: http://www.tilburguniversity.edu/nl/over-tilburg-university/schools/economics-and-management/

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References

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  1. Haemers, W.H. & Higman, D.G., 1989. "Strongly regular graphs with strongly regular decomposition," Open Access publications from Tilburg University urn:nbn:nl:ui:12-402393, Tilburg University.
  2. Brouwer, A.E. & Haemers, W.H., 1993. "The Gewirtz graph: An exercise in the theory of graph spectra," Open Access publications from Tilburg University urn:nbn:nl:ui:12-402379, Tilburg University.
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Cited by:
  1. Dam, E.R. van & Spence, E., 2005. "Combinatorial designs with two singular values II. Partial geometric designs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-142650, Tilburg University.
  2. Dam, E.R. van & Spence, E., 2003. "Combinatorial Designs with Two Singular Values I. Uniform Multiplicative Designs," Discussion Paper 2003-67, Tilburg University, Center for Economic Research.
  3. Dam, E.R. van & Omidi, G.R., 2013. "Strongly walk-regular grapsh," Open Access publications from Tilburg University urn:nbn:nl:ui:12-5906114, Tilburg University.
  4. Dam, E.R. van & Haemers, W.H., 2003. "Which graphs are determined by their spectrum?," Open Access publications from Tilburg University urn:nbn:nl:ui:12-117380, Tilburg University.
  5. Camara Vallejo, M. & Dam, E.R. van & Koolen, J.H. & Park, J., 2013. "Geometric aspects of 2-walk-regular graphs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-5919121, Tilburg University.
  6. Peeters, M.J.P., 1994. "On the p-ranks of the adjacency matrices of distance-regular graphs," Research Memorandum 656, Tilburg University, Faculty of Economics and Business Administration.

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