Back to Search
Start Over
CONSTRUCTION TECHNIQUES FOR ANTI-PASCH STEINER TRIPLE SYSTEMS.
- Source :
-
Journal of the London Mathematical Society . 06/01/2000, Vol. 61 Issue 3, p641-657. 17p. - Publication Year :
- 2000
-
Abstract
- Four methods for constructing anti-Pasch Steiner triple systems are developed. The first generalises a construction of Stinson and Wei to obtain a general singular direct product construction. The second generalises the Bose construction. The third employs a construction due to Lu. The fourth employs Wilson-type inflation techniques using Latin squares having no subsquares of order 2. As a consequence of these constructions we are able to produce anti-Pasch systems of order v for v 31 or 7 (mod 18), for v a 49 (mod 72), and for many other values of v. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00246107
- Volume :
- 61
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 57133967
- Full Text :
- https://doi.org/10.1112/S0024610700008838