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Which Graphs are Determined by their Spectrum?

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Author Info

  • Dam, E.R. van
  • Haemers, W.H.

    (Tilburg University, Center for Economic Research)

Abstract

AMS classifications; 05C50; 05E30;

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2002-66.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200266

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Web page: http://center.uvt.nl

Related research

Keywords: combinatorics; graphs;

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References

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  1. Dam, E.R. van, 1994. "Regular graphs with four eigenvalues," Research Memorandum 659, Tilburg University, Faculty of Economics and Business Administration.
  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.
  3. Dam, E.R. van, 1998. "Nonregular graphs with three eigenvalues," Open Access publications from Tilburg University urn:nbn:nl:ui:12-76953, Tilburg University.
  4. Dam, E.R. van & Haemers, W.H., 2002. "Spectral characterizations of some distance-regular graphs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-87365, Tilburg University.
  5. Haemers, W.H., 1996. "Distance-regularity and the spectrum of graphs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72017, Tilburg University.
  6. Dam, E.R. van & Spence, E., 1998. "Small regular graphs with four eigenvalues," Open Access publications from Tilburg University urn:nbn:nl:ui:12-76952, Tilburg University.
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Citations

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Cited by:
  1. Dam, E.R. van & Haemers, W.H. & Koolen, J.H., 2007. "Cospectral graphs and the generalized adjacency matrix," Open Access publications from Tilburg University urn:nbn:nl:ui:12-211632, Tilburg University.
  2. Comellas, Francesc & Diaz-Lopez, Jordi, 2008. "Spectral reconstruction of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6436-6442.
  3. Haemers, W.H. & Spence, E., 2002. "Enumeration of Cospectral Graphs," Discussion Paper 2002-90, Tilburg University, Center for Economic Research.
  4. Haemers, W.H., 2005. "Matrices and Graphs," Discussion Paper 2005-37, Tilburg University, Center for Economic Research.
  5. Chesnokov, A.A. & Haemers, W.H., 2005. "Regularity and the Generalized Adjacency Spectra of Graphs," Discussion Paper 2005-124, Tilburg University, Center for Economic Research.
  6. Dam, E.R. van & Haemers, W.H., 2010. "An Odd Characterization of the Generalized Odd Graphs," Discussion Paper 2010-47, Tilburg University, Center for Economic Research.
  7. Haemers, W.H. & Ramezani, F., 2009. "Graphs Cospectral with Kneser Graphs," Discussion Paper 2009-76, Tilburg University, Center for Economic Research.
  8. Dam, E.R. van & Haemers, W.H., 2009. "Developments on spectral characterizations of graphs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3160873, Tilburg University.

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