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An inequality involving the second largest and smallest eigenvalue of a distance-regular graph

โœ Scribed by Jack H. Koolen; Jongyook Park; Hyonju Yu


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
221 KB
Volume
434
Category
Article
ISSN
0024-3795

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The distance-regular graphs such that al
โœ Jack H. Koolen; Hyonju Yu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 268 KB

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 wi