On the number of non isomorphic Steiner triple systems
β Scribed by Jean Doyen; Guy Valette
- Publisher
- Springer-Verlag
- Year
- 1971
- Tongue
- French
- Weight
- 806 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
Let D(u) be the maximum number of pairwk disjoint Steiner triple sysiems of order v. We prove that D(3v:r 2 2v + D(v) for every u = 1 oi 3 (mod 6), u 2 3. As a corollary, we have D(3n) -3n-2 for every n 2 1.
## Abstract We consider two wellβknown constructions for Steiner triple systems. The first construction is recursive and uses an STS(__v__) to produce a nonβresolvable STS(2__v__β+β1), for __v__ββ‘β1 (mod 6). The other construction is the Wilson construction that we specify to give a nonβresolvable