𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The 2-rotational Steiner triple systems of order 25

✍ Scribed by Yeow Meng Chee; Gordon F. Royle


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
501 KB
Volume
97
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper, we enumerate the 2-rotational Steiner triple systems of order 25. There are exactly 140 pairwise non-isomorphic such designs. All these designs have full automorphism groups of order 12. We also investigate the existence of subsystems and quadrilaterals in these designs.


πŸ“œ SIMILAR VOLUMES


The spectrum for rotational Steiner trip
✍ Charles J. Colbourn; Zhike Jiang πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 700 KB

We develop some recursive constructions for rotational Steiner triple systems with which the spectrum of a k-rotational Steiner triple system of order v is completely determined for each positive integer k .

Quasi-embeddings of Steiner triple syste
✍ Peter Dukes; Eric Mendelsohn πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 182 KB

## Abstract In this paper, we present a conjecture that is a common generalization of the Doyen–Wilson Theorem and Lindner and Rosa's intersection theorem for Steiner triple systems. Given __u__, __v__ ≑ 1,3 (mod 6), __u__ < __v__ < 2__u__ +  1, we ask for the minimum __r__ such that there exists a

A construction of cyclic Steiner triple
✍ K.T Phelps πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 230 KB

## Phelps 2.1 will produce such a collection for each n -1/> 1. Choose U as in (3.1) above, then B,, =pBn-1 U U is a set of representatives for a CSTS(p"). Since every multiplier m =-1 (modp n'l) is an automorphism of this system f(x)=p"-lx2 +x will be an isomorphism from B,, to another CSTS(p~),

Another complete invariant for Steiner t
✍ Olivier Anglada; Jean-FranΓ§ois Maurras πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 64 KB

## Abstract In this note, the 80 non‐isomorphic triple systems on 15 points are revisited from the viewpoint of the convex hull of the characteristic vectors of their blocks. The main observation is that the numbers, of facets of these 80 polyhedra are all different, thus producing a new proof of t