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The spectrum for rotational Steiner triple systems

✍ Scribed by Charles J. Colbourn; Zhike Jiang


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
700 KB
Volume
4
Category
Article
ISSN
1063-8539

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✦ Synopsis


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 .


πŸ“œ SIMILAR VOLUMES


Constructions for rotational Steiner qua
✍ Tao Feng; Yanxun Chang; Lijun Ji πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 167 KB πŸ‘ 1 views

## Abstract A direct construction for rotational Steiner quadruple systems of order __p__+ 1 having a nontrivial multiplier automorphism is presented, where __p__≑13 (mod24) is a prime. We also give two improved product constructions. By these constructions, the known existence results of rotationa

Constructions for anti-mitre Steiner tri
✍ Yuichiro Fujiwara πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 83 KB πŸ‘ 1 views

## Abstract In this paper, we present a recursive construction for anti‐mitre Steiner triple systems. Furthermore, we present another construction of anti‐mitre STSs by utilizing 5‐sparse ones. Β© 2004 Wiley Periodicals, Inc.

Doyen–Wilson theorem for nested Steiner
✍ Jinhua Wang; Hao Shen πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 144 KB πŸ‘ 1 views

## Abstract The obvious necessary conditions for the existence of a nested Steiner triple system of order __v__ containing a nested subsystem of order __w__ are __v__ β‰₯ 3__w__ + 4 and __v__ ≑ w ≑ 1 (mod 6). We show that these conditions are also sufficient. Β© 2004 Wiley Periodicals, Inc.

On the chromatic numbers of Steiner trip
✍ Lucien Haddad πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 188 KB πŸ‘ 2 views

Geometric properties are used to determine the chromatic number of AG(4, 3) and to derive some important facts on the chromatic number of PG(n, 2). It is also shown that a 4-chromatic STS(v) exists for every admissible order v β‰₯ 21.

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