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On quasi-symmetric 2-(28,12,11) and 2-(36,16,12) designs

โœ Scribed by Clement Lam; Larry Thiel; Vladimir D. Tonchev


Book ID
105174056
Publisher
Springer
Year
1995
Tongue
English
Weight
628 KB
Volume
5
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES


Quasi-symmetric 2-(28, 12, 11) designs w
โœ Yuan Ding; Sheridan Houghten; Clement Lam; Suzan Smith; Larry Thiel; Vladimir D. ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 142 KB

All quasi-symmetric 2-(28, 12, 11) designs with an automorphism of order 7 without fixed points or blocks are enumerated. Up to isomorphism, there are exactly 246 such designs. All but four of these designs are embeddable as derived designs in symmetric 2-(64, 28, 12) designs, producing in this way

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โœ Sharad S. Sane; Mohan S. Shrikhande ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 547 KB
A note on triangle-free quasi-symmetric
โœ Rajendra M. Pawale ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 84 KB ๐Ÿ‘ 1 views

Triangle-free quasi-symmetric 2-(v, k,k) designs with intersection numbers x, y; 01, are investigated. It is proved that k โ‰ฅ 2 yx -3. As a consequence it is seen that for fixed k, there are finitely many triangle-free quasi-symmetric designs. It is also proved that: k โ‰ค y( yx)+ x.