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Support Sizes of Directed Triple Systems

โœ Scribed by S. Milici; G. Quattrocchi; H. Shen


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
657 KB
Volume
75
Category
Article
ISSN
0097-3165

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โœฆ Synopsis


In this paper, we determine the spectrum of support sizes of directed triple systems, for all *.


๐Ÿ“œ SIMILAR VOLUMES


Support sizes of triple systems
โœ Charles J Colbourn; Charles C Lindner ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 950 KB
Support sizes of threefold resolvable tr
โœ Yanxun Chang; Giovanni Lo Faro; Hao Shen ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB ๐Ÿ‘ 1 views

## Abstract Let __SS__~__R__~(__v__, 3) denote the set of all integer __b__\* such that there exists a __RTS__(__v__, 3) with __b__\* distinct triples. In this paper, we determine the set __SS__~__R__~(__v__, 3) for __v__ โ‰ก 3 (mod 6) and __v__ โ‰ฅ 3 with only five undecided cases. We establish that _

The spectrum of support sizes for threef
โœ Charles J. Colbourn; Ebadollah S. Mahmoodian ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 656 KB

The spectrum of possible numbers of distinct blocks in a threefold triple system of order u is determined. Let m, = [u(u -1)/6]. A threefold triple system with u = 1, 3 (mod 6) elements can have any number of distinct blocks from, and only from, {m,, m, + 4, m, +6, m, + 7;.., 3m,} provided u # 3, 7

Directed triple systems
โœ Stephen H.Y Hung; N.S Mendelsohn ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 411 KB
Cyclic antiautomorphisms of directed tri
โœ Neil P. Carnes; Anne Dye; James F. Reed ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 645 KB

A transitive triple, (a,b,c), is defined to be the set )} of ordered pairs. A directed triple system of order v, DTS(v), is a pair (D, p), where D is a set of v points and fi is a collection of transitive triples of pairwise distinct points of D such that any ordered pair of distinct points of D is

Embeddings of pure mendelsohn triple sys
โœ Shen Hao ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 493 KB

## Abstract It is proved in this article that the necessary and sufficient conditions for the embedding of a ฮปโ€fold pure Mendelsohn triple system of order __v__ in ฮปโ€__fold__ pure Mendelsohn triple of order __u__ are ฮป__u__(__u__ โˆ’ 1) โ‰ก 0 (mod 3) and __u__ โฉพ 2__v__ + 1. Similar results for the embe