Back to Search
Start Over
Triplewhist tournaments with the three person property
- Source :
-
Journal of Combinatorial Theory - Series A . Nov2007, Vol. 114 Issue 8, p1438-1455. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: The necessary conditions for existence of a triplewhist tournament are . By the efforts of many authors through a century, these conditions are shown to be sufficient except for and possibly for . A triplewhist tournament is said to have the three person property if any two games in the tournament do not have three common players. We briefly denote such a design as a . In this paper, we extend the known existence result for s and show that the necessary conditions for existence of a , namely, and , are also sufficient except for and possibly for . [Copyright &y& Elsevier]
- Subjects :
- *TOURNAMENTS
*GAME theory
*LINEAR algebra
*GROUP theory
Subjects
Details
- Language :
- English
- ISSN :
- 00973165
- Volume :
- 114
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series A
- Publication Type :
- Academic Journal
- Accession number :
- 26822266
- Full Text :
- https://doi.org/10.1016/j.jcta.2007.01.012