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Quasi-symmetric 3-designs with triangle-free graph

โœ Scribed by Rajendra M. Pawale

Publisher
Springer
Year
1991
Tongue
English
Weight
234 KB
Volume
37
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

A~TRACT. The following result is proved: Let D be a quasi-symmetric 3-design with intersection numbers x, y(0 ~< x < y < k). D has no three distinct blocks such that any two of them intersect in x points if and only if D is a Hadamard 3-design, or D has a parameter set (v, k, 2

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The article is concerned with a characterization of quasi-symmetric (QS) designs with intersection numbers 0 and y. It uses the idea of a good block. Such a block G has the property that for any block B with IG n B J = y, every point is on a block containing G n B. It is proved that if a QS design I