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Spectral characterization of the Hamming graphs SCIE SCOPUS
- Title
- Spectral characterization of the Hamming graphs
- Authors
- Bang, S; van Dam, ER; Koolen, JH
- Date Issued
- 2008-12-01
- Publisher
- ELSEVIER SCIENCE INC
- Abstract
- We show that the Hamming graph H(3, q) with diameter three is uniquely determined by its spectrum for q >= 36. Moreover, we show that for given integer D >= 2, any graph cospectral with the Hamming graph H (D. q) is locally the disjoint union of D copies of the complete graph of size q - 1, for q large enough. (C) 2007 Elsevier Inc. All rights reserved.
- Keywords
- Cospectral graphs; Distance-regular graphs; Eigenvalues; Geometric graphs; Hamming graphs; Spectrum of a graph
- ISSN
- 0024-3795
- Article Type
- Article
- Citation
- LINEAR ALGEBRA AND ITS APPLICATIONS, vol. 429, no. 11-12, page. 2678 - 2686, 2008-12-01
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Related Researcher
- Koolen Jacobus H.KOOLEN, JACOBUS H
- Dept of Mathematics