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Some derived steiner triple systems

โœ Scribed by Kevin T. Phelps


Book ID
108316019
Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
375 KB
Volume
16
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Some packings with Steiner triple system
โœ R.H.F. Denniston ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 997 KB

To pattittrm, tnto oil ttme 2 Srciner ## 1. lntroductian 1 refer to 131 for the history of the problem. which goes back to 1850; in fxt, Caylcy [ I] showed that there is no packing of arder 7. The existence of a packi!ng of order 9 was discovered by Kirkman 141, and rectiscsvcred ?~erdI t imcs; bu

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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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Stinson, D.R., Y.J. Wei, Some results on quadrilaterals in Steiner triple systems, Discrete Mathematics 105 (1992) 207-219. In this paper, we study quadrilaterals in Steiner triple systems. We present two recursive constructions for Steiner triple systems having no quadrilaterals. We also consider