Back to Search
Start Over
General frame constructions for Z-cyclic triplewhist tournaments
- Source :
-
Journal of Combinatorial Theory - Series A . May2007, Vol. 114 Issue 4, p747-760. 14p. - Publication Year :
- 2007
-
Abstract
- Abstract: Frames are useful in dealing with resolvable designs such as resolvable balanced incomplete block designs and triplewhist tournaments. Z-cyclic triplewhist tournament frames are also useful in the constructions of Z-cyclic triplewhist tournaments. In this paper, the concept of an -regular Z-cyclic triplewhist tournament frame is defined, and used to establish several quite general recursive constructions for Z-cyclic triplewhist tournaments. As corollaries, we are able to unify many known constructions for Z-cyclic triplewhist tournaments. As an application, some new Z-cyclic triplewhist tournament frames and Z-cyclic triplewhist tournaments are obtained. The known existence results of such designs are then extended. [Copyright &y& Elsevier]
- Subjects :
- *BLOCK designs
*RECURSIVE functions
*ALGORITHMS
*COMBINATORICS
Subjects
Details
- Language :
- English
- ISSN :
- 00973165
- Volume :
- 114
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series A
- Publication Type :
- Academic Journal
- Accession number :
- 24220799
- Full Text :
- https://doi.org/10.1016/j.jcta.2006.08.011