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Cyclic bi-embeddings of Steiner triple systems on 31 points

Bennett, G. K.; Grannell, M. J. and Griggs, T. S. (2001). Cyclic bi-embeddings of Steiner triple systems on 31 points. Glasgow Mathematical Journal, 43(1) pp. 145–151.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1017/S001708950101014X
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Abstract

We investigate cyclic bi-embeddings in an orientable surface of Steiner triple systems on 31 points. Up to isomorphism, we show that there are precisely 2408 such embeddings. The relationship of these to solutions of Heffter's first difference problem is discussed and a procedure described which, under certain conditions, transforms one bi-embedding to another.

Item Type: Journal Article
ISSN: 1469-509X
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 22781
Depositing User: Mike Grannell
Date Deposited: 18 Aug 2010 13:25
Last Modified: 02 Dec 2010 21:02
URI: http://oro.open.ac.uk/id/eprint/22781
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