1 he existence of reverse Steiner triple systems It.e. Steiner triple systems with a given involutory automorphism of speck4 type) is investigated. it is srfrwrn that such a system exists far alI wders n if n z t of 3 or 9 (mod 24: except posd&ly far n = 25. A system with this grspetty exists also f
A note on reverse Steiner triple systems
β Scribed by Jean Doyen
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 525 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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).
## Abstract We study the list chromatic number of Steiner triple systems. We show that for every integer __s__ there exists __n__~0~=__n__~0~(__s__) such that every Steiner triple system on __n__ points STS(__n__) with __n__β₯__n__~0~ has list chromatic number greater than __s__. We also show that t
## Abstract We give a general construction for Steiner triple systems on a countably infinite point set and show that it yields 2 nonisomorphic systems all of which are uniform and __r__βsparse for all finite __r__β©Ύ4. Β© 2009 Wiley Periodicals, Inc. J Combin Designs 18: 115β122, 2010