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A remark on the intersection arrays of distance regular graphs and the distance regular graphs of diameterd= 3i− 1 withbi= 1 andk> 2

✍ Scribed by E. W. Lambeck


Publisher
Springer
Year
1991
Tongue
English
Weight
250 KB
Volume
1
Category
Article
ISSN
0925-1022

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✦ Synopsis


Let [' be a distance regular graph with intersection array {bo, bl, . •., 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 = 1 and k > 2 are determined.


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