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Quasi-Symmetric Designs with Good Blocks and Intersection Number One

✍ Scribed by V. C. Mavron; T. P. McDonough; M. S. Shrikhande

Book ID
110421471
Publisher
Springer
Year
2003
Tongue
English
Weight
115 KB
Volume
28
Category
Article
ISSN
0925-1022

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πŸ“œ SIMILAR VOLUMES

Quasi-Symmetric Designs with Good Blocks
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✍ T. P. McDonough; V. C. Mavron πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 460 KB

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

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✍ Rajendra M. Pawale πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 112 KB

## Abstract The following results for proper quasi‐symmetric designs with non‐zero intersection numbers __x__,__y__ and λ > 1 are proved. Let __D__ be a quasi‐symmetric design with __z__ = __y__β€‰βˆ’β€‰__x__ and __v__ β‰₯ 2__k__. If __x__ β‰₯ 1 + __z__ + __z__^3^ then λ < __x__ + 1 + __z__ + __z__^3^. Let