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The existence of 5-sparse Steiner triple systems of order ,

✍ Scribed by Adam J. Wolfe


Book ID
108167247
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
239 KB
Volume
115
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


The existence of reverse Steiner triple
✍ Luc Teirlinck πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 184 KB

A Steiner triple system of order u is called reverse if its automorphism group contains an involution fixing only one point. We show mat such a system exists if and only if u = 1,3, 9 or 19 (mod 24).

Infinite classes of anti-mitre and 5-spa
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## Abstract In this paper, we present three constructions for anti‐mitre Steiner triple systems and a construction for 5‐sparse ones. The first construction for anti‐mitre STSs settles two of the four unsettled admissible residue classes modulo 18 and the second construction covers such a class mod

Existence of non-resolvable Steiner trip
✍ (Ben) Pak Ching Li; G. H. J. van Rees πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 112 KB πŸ‘ 1 views

## Abstract We consider two well‐known constructions for Steiner triple systems. The first construction is recursive and uses an STS(__v__) to produce a non‐resolvable STS(2__v__ + 1), for __v__ ≑ 1 (mod 6). The other construction is the Wilson construction that we specify to give a non‐resolvable