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On Kirkman triple systems of order 33

โœ Scribed by Vladimir D. Tonchev; Scott A. Vanstone


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
259 KB
Volume
106-107
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


from the 84 cyclic STS(33).


๐Ÿ“œ SIMILAR VOLUMES


Intersection Numbers of Kirkman Triple S
โœ Yanxun Chang; Giovanni Lo Faro ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 128 KB

Let J R (v) denote the set of all integers k such that there exists a pair of KTS(v) with precisely k triples in common. In this article we determine the set J R (v) for v#3 (mod 6) (only 10 cases are left undecided for v=15, 21, 27, 33, 39) and establish that J R (v)=I(v) for v#3 (mod 6) and v 45,

Some infinite families of large sets of
โœ Landang Yuan; Qingde Kang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 145 KB ๐Ÿ‘ 1 views

## Abstract A __large set__ of Kirkman triple systems of order __v__, denoted by __LKTS__(__v__), is a collection {(__X__, __B~i~__) : 1โ€‰โ‰คโ€‰__i__โ€‰โ‰คโ€‰__v__โ€‰โˆ’โ€‰2}, where every (__X__,__B~i~__) is a __KTS__(__v__) and all __B~i~__ form a partition of all triples on __X__. Many researchers have studied th

On the Bi-embeddability of Certain Stein
โœ G.K. Bennett; M.J. Grannell; T.S. Griggs ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 57 KB

There are 80 non-isomorphic Steiner triple systems of order 15. A standard listing of these is given in Mathon et al. (1983, Ars Combin., 15, 3-110). We prove that systems #1 and #2 have no bi-embedding together in an orientable surface. This is the first known example of a pair of Steiner triple sy