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A remark on the intersection arrays of distance-regular graphs

โœ Scribed by Alan Boshier; Kazumasa Nomura


Book ID
107884275
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
261 KB
Volume
44
Category
Article
ISSN
0095-8956

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A remark on the intersection arrays of d
โœ E. W. Lambeck ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer ๐ŸŒ English โš– 250 KB

Let [' be a distance regular graph with intersection array {bo, bl, . โ€ข., bd\_l; ct, ..., ed}. It is shown that in same cases (c i 1, ai-I, br I) = (ct, at, bt) and (c2~ t, a2~ 1, b2i l) = (ci, a~, bi) imply k <\_ 2b i + 1. As a corollary all distance regular graphs of diameter d = 3i -1 with b I =