On bipartite tournaments balanced with respect to carry-over effects for both teams

Bedford, David, Ollis, M. A. and Whitaker, Roger Marcus ORCID: https://orcid.org/0000-0002-8473-1913 2001. On bipartite tournaments balanced with respect to carry-over effects for both teams. Discrete Mathematics 231 (1-3) , pp. 81-87. 10.1016/S0012-365X(00)00306-X

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Abstract

By finding an invertible basic directed terrace (i.b.d.t.) for the non-abelian group of order 21, we give the first example of a bipartite tournament of odd order which is balanced with respect to carry-over effects for both teams. We report that no non-abelian group of order less than 16 has an i.b.d.t. and present an example of an i.b.d.t. for each non-abelian group of order between 16 and 20 inclusive. We also construct an i.b.d.t. for one of the non-abelian groups of order 42.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	Directed terrace; Bipartite tournament; Carry-over effects; Latin square
Publisher:	Elsevier
ISSN:	0012-365X
Last Modified:	18 Oct 2022 13:21
URI:	https://orca.cardiff.ac.uk/id/eprint/13571

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