The spectral excess theorem for distance-regular graphs : A global (over)view
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- 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.
- Haemers, W.H. & van Dam, E.R., 1997. "A characterization of distance-regular graphs with diameter three," Other publications TiSEM 16feca8a-db06-46ae-bef6-4, Tilburg University, School of Economics and Management.
- 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.
- van Dam, E.R. & Haemers, W.H., 2003. "Which graphs are determined by their spectrum?," Other publications TiSEM a9a1857e-13ce-4da7-bcca-b, Tilburg University, School of Economics and Management.
- 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.
- Haemers, W.H., 1996. "Distance-regularity and the spectrum of graphs," Other publications TiSEM 0b0a4a2f-4eec-4ab3-b718-3, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Koolen, J.H., 2004.
"A New Family of Distance-Regular Graphs with Unbounded Diameter,"
Discussion Paper
2004-116, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Koolen, J.H., 2005. "A new family of distance-regular graphs with unbounded diameter," Other publications TiSEM 203387bf-4938-4601-993b-9, Tilburg University, School of Economics and Management.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- van Dam, E.R. & Fiol, M.A., 2014. "The Laplacian spectral excess theorem for distance-regular graphs," Other publications TiSEM 6188707e-e0eb-4b5f-9b3b-4, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2010. "An Odd Characterization of the Generalized Odd Graphs," Other publications TiSEM 2478f418-ae83-4ac3-8742-2, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2010.
"An Odd Characterization of the Generalized Odd Graphs,"
Discussion Paper
2010-47, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H., 2011. "An odd characterization of the generalized odd graphs," Other publications TiSEM e8bf846c-d5d1-4492-8b6e-6, Tilburg University, School of Economics and Management.
- Dalfo, C. & van Dam, E.R. & Fiol, M.A. & Garriga, E. & Gorissen, B.L., 2010. "On Almost Distance-Regular Graphs," Discussion Paper 2010-28, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Fiol, M.A., 2012. "A short proof of the odd-girth theorem," Other publications TiSEM ad0d371c-9934-4a42-83ef-2, Tilburg University, School of Economics and Management.
- Dalfo, C. & van Dam, E.R. & Fiol, M.A. & Garriga, E., 2012. "Dual concepts of almost distance-regularity and the spectral excess theorem," Other publications TiSEM 2feeed57-6905-44cd-90be-e, Tilburg University, School of Economics and Management.
- Dalfo, C. & van Dam, E.R. & Fiol, M.A. & Garriga, E. & Gorissen, B.L., 2010. "On Almost Distance-Regular Graphs," Other publications TiSEM 65a6a2ab-bddb-4fbe-8ab7-5, Tilburg University, School of Economics and Management.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- van Dam, E.R. & Haemers, W.H., 2007.
"Developments on Spectral Characterizations of Graphs,"
Discussion Paper
2007-33, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H., 2009. "Developments on spectral characterizations of graphs," Other publications TiSEM 7b5eb8d4-dfc2-4392-bb3f-4, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2007. "Developments on Spectral Characterizations of Graphs," Other publications TiSEM 3827c785-7b51-4bcd-aea3-f, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Fiol, M.A., 2014. "The Laplacian spectral excess theorem for distance-regular graphs," Other publications TiSEM 6188707e-e0eb-4b5f-9b3b-4, Tilburg University, School of Economics and Management.
- van Dam, E.R. & 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.
- van Dam, E.R. & Haemers, W.H. & Koolen, J.H. & Spence, E., 2006. "Characterizing distance regularity of graphs by the spectrum," Other publications TiSEM 4a2b71be-1428-4de9-a18b-7, Tilburg University, School of Economics and Management.
- van Dam, E.R., 1997.
"Three-Class Association Schemes,"
Research Memorandum
744, Tilburg University, School of Economics and Management.
- van Dam, E.R., 1999. "Three-class association schemes," Other publications TiSEM 68362d1e-3534-42c0-bdba-0, Tilburg University, School of Economics and Management.
- Xiaoyun Yang & Ligong Wang, 2020. "Laplacian Spectral Characterization of (Broken) Dandelion Graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 915-933, September.
- Haemers, W.H., 2005. "Matrices and Graphs," Other publications TiSEM 94b6bd28-71e7-41d3-b978-c, Tilburg University, School of Economics and Management.
- B. R. Rakshith, 2022. "Signless Laplacian spectral characterization of some disjoint union of graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(1), pages 233-245, March.
- van Dam, E.R. & Haemers, W.H. & Koolen, J.H., 2006.
"Cospectral Graphs and the Generalized Adjacency Matrix,"
Discussion Paper
2006-31, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H. & Koolen, J.H., 2007. "Cospectral graphs and the generalized adjacency matrix," Other publications TiSEM ccfab5ea-009a-462a-bcdf-7, Tilburg University, School of Economics and Management.
- Haemers, W.H. & Ramezani, F., 2009. "Graphs Cospectral with Kneser Graphs," Discussion Paper 2009-76, Tilburg University, Center for Economic Research.
- Estrada, Ernesto, 2007. "Graphs (networks) with golden spectral ratio," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1168-1182.
- van Dam, E.R., 1995. "Bounds on separated pairs of subgraphs, eigenvalues and related polynomials," Research Memorandum FEW 699, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2010. "An Odd Characterization of the Generalized Odd Graphs," Other publications TiSEM 2478f418-ae83-4ac3-8742-2, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2000.
"Spectral Characterizations of Some Distance-Regular Graphs,"
Research Memorandum
793, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2002. "Spectral characterizations of some distance-regular graphs," Other publications TiSEM 416915a8-90ef-4af9-ae5d-d, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2010.
"An Odd Characterization of the Generalized Odd Graphs,"
Discussion Paper
2010-47, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H., 2011. "An odd characterization of the generalized odd graphs," Other publications TiSEM e8bf846c-d5d1-4492-8b6e-6, Tilburg University, School of Economics and Management.
- Abiad Monge, Aida, 2015. "Spectral characterizations of graphs," Other publications TiSEM 047213fe-66b3-4494-a7e0-c, Tilburg University, School of Economics and Management.
- Al-Yakoob, Salem & Kanso, Ali & Stevanović, Dragan, 2022. "On Hosoya’s dormants and sprouts," Applied Mathematics and Computation, Elsevier, vol. 430(C).
- 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.
- Mao, Ding & Wang, Peng & Fang, Yi-Ping & Ni, Long, 2024. "Securing heat-supply against seismic risks: A two-staged framework for assessing vulnerability and economic impacts in district heating networks," Applied Energy, Elsevier, vol. 369(C).
- Wang, Xiangrong & Trajanovski, Stojan & Kooij, Robert E. & Van Mieghem, Piet, 2016. "Degree distribution and assortativity in line graphs of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 343-356.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiutis:35daf99b-ad28-4e21-8b1f-625bbb9573bd. See general information about how to correct material in RePEc.
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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Richard Broekman (email available below). General contact details of provider: https://www.tilburguniversity.edu/about/schools/economics-and-management/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.