The Open UniversitySkip to content
 

Self-embeddings of cyclic and projective Steiner quasigroups

Donovan, Diane M.; Grannell, Mike J.; Griggs, Terry S.; Lefevre, James G. and McCourt, Thomas (2011). Self-embeddings of cyclic and projective Steiner quasigroups. Journal of Combinatorial Designs, 19(1) pp. 16–27.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1002/jcd.20258
Google Scholar: Look up in Google Scholar

Abstract

It is shown that for every admissible order v for which a cyclic Steiner triple system exists, there exists a biembedding of a cyclic Steiner quasigroup of order v with a copy of itself. Furthermore, it is shown that for each n≥2 the projective Steiner quasigroup of order 2n-1 has a biembedding with a copy of itself.

Item Type: Journal Article
Copyright Holders: 2010 Wiley Periodicals, Inc.
ISSN: 1520-6610
Keywords: complete tripartite graph; embedding; Latin square; Steiner quasigroup; Steiner triple system
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 29169
Depositing User: Mike Grannell
Date Deposited: 26 Jul 2011 15:28
Last Modified: 30 Nov 2012 10:37
URI: http://oro.open.ac.uk/id/eprint/29169
Share this page:

Altmetrics

Scopus Citations

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340   general-enquiries@open.ac.uk