The spectrum for rotational Steiner triple systems
β 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
No coin nor oath required. For personal study only.
β¦ 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 .
π SIMILAR VOLUMES
## Abstract A direct construction for rotational Steiner quadruple systems of order __p__+ 1 having a nontrivial multiplier automorphism is presented, where __p__β‘13 (mod24) is a prime. We also give two improved product constructions. By these constructions, the known existence results of rotationa
## Abstract In this paper, we present a recursive construction for antiβmitre Steiner triple systems. Furthermore, we present another construction of antiβmitre STSs by utilizing 5βsparse ones. Β© 2004 Wiley Periodicals, Inc.
## 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__ββ₯β3__w__β+β4 and __v__ββ‘βwββ‘β1 (mod 6). We show that these conditions are also sufficient. Β© 2004 Wiley Periodicals, Inc.
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.
## Abstract In this note, the 80 nonβisomorphic 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