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A (49, 16, 3, 6) Strongly Regular Graph Does Not Exist

โœ Scribed by Bussemaker, F.C.; Haemers, W.H.; Matron, R.; Wilbrink, H.A.


Book ID
122024005
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
347 KB
Volume
10
Category
Article
ISSN
0195-6698

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A S(3, {4, 6}, 18) with a subdesign S(3,
โœ Vaclav Linek ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 72 KB

## Abstract For $K \subset \{1,2,3,\ldots\}$, a __S__(__t__,__K__,__v__) design is a pair, $(V,{\cal B})$, with |__V__|โ€‰=โ€‰__v__ and ${\cal B}$ a set of subsets of __V__ such that each __t__โ€subset of __V__ is contained in a unique $\alpha \in {\cal B}$ and $\vert \alpha \vert \in K$ for all $\alpha