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An inequality involving the second largest and smallest eigenvalue of a distance-regular graph SCIE SCOPUS
- Title
- An inequality involving the second largest and smallest eigenvalue of a distance-regular graph
- Authors
- Koolen, JH; Park, J; Yu, H
- Date Issued
- 2011-06-15
- Publisher
- ELSEVIER SCIENCE INC
- Abstract
- For a distance-regular graph with second largest eigenvalue (resp., smallest eigenvalue) theta(1) (resp., theta(D)) we show that (theta(1) + 1)(theta(D) + 1) <= -b(1) holds, where equality only holds when the diameter equals two. Using this inequality we study distance-regular graphs with fixed second largest eigenvalue. (C) 2011 Elsevier Inc. All rights reserved.
- Keywords
- Distance-regular graph; Tight distance-regular graph; Bounds on eigenvalues; Shill distance-regular graphs
- ISSN
- 0024-3795
- Article Type
- Article
- Citation
- LINEAR ALGEBRA AND ITS APPLICATIONS, vol. 434, no. 12, page. 2404 - 2412, 2011-06-15
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Related Researcher
- Koolen Jacobus H.KOOLEN, JACOBUS H
- Dept of Mathematics