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A note on reverse Steiner triple systems

✍ Scribed by Jean Doyen


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
525 KB
Volume
1
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


On reverse Steiner triple systems
✍ Alexander Rosa πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 950 KB

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

The existence of reverse Steiner triple
✍ Luc Teirlinck πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 184 KB

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).

On list coloring Steiner triple systems
✍ P. E. Haxell; M. Pei πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 105 KB

## 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

On sparse countably infinite Steiner tri
✍ K. M. Chicot; M. J. Grannell; T. S. Griggs; B. S. Webb πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 107 KB πŸ‘ 1 views

## 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__‐sparse for all finite __r__β©Ύ4. Β© 2009 Wiley Periodicals, Inc. J Combin Designs 18: 115–122, 2010

Historical notes on steiner systems
✍ Hans Ludwig de Vries πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 672 KB