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Some new 2-resolvable Steiner quadruple systems

โœ Scribed by Luc Teirlinck


Book ID
105174088
Publisher
Springer
Year
1994
Tongue
English
Weight
376 KB
Volume
4
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES


Some new perfect Steiner triple systems
โœ M. J. Grannell; T. S. Griggs; J. P. Murphy ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 147 KB ๐Ÿ‘ 1 views

In a Steiner triple system STS(v) = (V, B), for each pair {a, b} โŠ‚ V, the cycle graph G a,b can be defined as follows. The vertices of G a,b are V \ {a, b, c} where {a, b, c} โˆˆ B. {x, y} is an edge if either {a, x, y} or {b, x, y} โˆˆ B. The Steiner triple system is said to be perfect if the cycle gra

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โœ Helmut Siemon ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 579 KB

Siemon, H., On the existence of cyclic Steiner Quadruple Systems SQS(2p), Discrete Mathematics 97 (1991) 377-385. Subsequent to Kohler's result in [l], Satz 8, we show that strictly cyclic SQS(2p), p prime number and p = 53, 77 ( 120) exist if a certain number theoretic claim can be proved. We verif