Donovan, D. M.; Drápal, A.; Grannell, M. J.; Griggs, T. S. and Lefevre, J. G.
(2010).
Quarter-regular biembeddings of Latin squares.
Discrete Mathematics, 310(4),
pp. 692–699.
(
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Abstract
We apply a recursive construction for biembeddings of Latin squares to produce a new infinite family of biembeddings of cyclic Latin squares of even side having a high degree of symmetry. Reapplication of the construction yields two further classes of biembeddings.
| Item Type: |
Journal Article
|
| Copyright Holders: |
2009 Elsevier B.V. |
| ISSN: |
0012-365X |
| Funders: |
Australian Research Council [grant numbers LX0453416 and DP0664030], Australian Mathematical Sciences Institute, Institutional Grant MSM 0021620839 |
| Keywords: |
biembedding; Latin square; orientable surface; regular embedding; transversal design |
| Academic Unit/Department: |
Mathematics, Computing and Technology > Mathematics and Statistics |
| Item ID: |
19454 |
| Depositing User: |
Colin Smith
|
| Date Deposited: |
11 Jan 2010 12:58 |
| Last Modified: |
30 Nov 2012 10:37 |
| URI: |
http://oro.open.ac.uk/id/eprint/19454 |
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