Advanced Search
MyIDEAS: Login

Developments on Spectral Characterizations of Graphs

Contents:

Author Info

  • Dam, E.R. van
  • Haemers, W.H.

    (Tilburg University, Center for Economic Research)

Abstract

In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph. In particular, the usual adjacency matrix and the Laplacian matrix were addressed. Furthermore, we formulated some research questions on the topic. In the meantime some of these questions have been (partially) answered. In the present paper we give a survey of these and other developments.2000 Mathematics Subject Classification: 05C50

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://arno.uvt.nl/show.cgi?fid=60340
Download Restriction: no

Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-33.

as in new window
Length:
Date of creation: 2007
Date of revision:
Handle: RePEc:dgr:kubcen:200733

Contact details of provider:
Web page: http://center.uvt.nl

Related research

Keywords: Spectra of graphs; Cospectral graphs; Generalized adjacency matrices; Distance-regular graphs;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Dam, E.R. van & Haemers, W.H. & Koolen, J.H., 2006. "Cospectral Graphs and the Generalized Adjacency Matrix," Discussion Paper 2006-31, Tilburg University, Center for Economic Research.
  2. Dam, E.R. van & Haemers, W.H. & Koolen, J.H. & Spence, E., 2005. "Characterizing Distance-Regularity of Graphs by the Spectrum," Discussion Paper 2005-19, Tilburg University, Center for Economic Research.
  3. 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.
  4. Dam, E.R. van & Koolen, J.H., 2004. "A New Family of Distance-Regular Graphs with Unbounded Diameter," Discussion Paper 2004-116, Tilburg University, Center for Economic Research.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Haemers, W.H. & Ramezani, F., 2009. "Graphs Cospectral with Kneser Graphs," Discussion Paper 2009-76, Tilburg University, Center for Economic Research.
  2. Dam, E.R. van & Haemers, W.H., 2011. "An odd characterization of the generalized odd graphs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-4578529, Tilburg University.
  3. Dalfo, C. & Dam, E.R. van & Fiol, M.A., 2011. "On perturbations of almost distance-regular graphs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-5013964, Tilburg University.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:dgr:kubcen:200733. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Richard Broekman).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.