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Latin directed triple systems
- Source :
-
Discrete Mathematics . Feb2012, Vol. 312 Issue 3, p597-607. 11p. - Publication Year :
- 2012
-
Abstract
- Abstract: It is well known that, given a Steiner triple system, a quasigroup can be formed by defining an operation by the identities and , where is the third point in the block containing the pair . The same is true for a Mendelsohn triple system, where the pair is considered to be ordered. But it is not true in general for directed triple systems. However, directed triple systems which form quasigroups under this operation do exist. We call these Latin directed triple systems, and in this paper we begin the study of their existence and properties. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 312
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 67632005
- Full Text :
- https://doi.org/10.1016/j.disc.2011.04.025