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The distance-regular graphs such that all of its second largest local eigenvalues are at most one

✍ Scribed by Jack H. Koolen; Hyonju Yu

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 268 KB
Volume: 435
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.02.049

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✦ Synopsis

In this paper, we classify distance-regular graphs such that all of its second largest local eigenvalues are at most one. Also we discuss the consequences for the smallest eigenvalue of a distance-regular graph. These extend a result by the first author, who classified the distance-regular graphs with smallest eigenvalue -1 -b 1 2 .