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On the bi-embeddability of certain Steiner triple systems of order 15

Bennett, G.K.; Grannell, M.J. and Griggs, T.S. (2002). On the bi-embeddability of certain Steiner triple systems of order 15. European Journal of Combinatorics, 23(5) pp. 499–505.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1006/eujc.2002.0559
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Abstract

There are 80 non-isomorphic Steiner triple systems of order 15. A standard listing of these is given in Mathon et al.(1983, Ars Combin., 15, 3–110). We prove that systems #1 and #2 have no bi-embedding together in an orientable surface. This is the first known example of a pair of Steiner triple systems of ordern , satisfying the admissibility condition n ≡ 3 or 7(mod 12), which admits no orientable bi-embedding. We also show that the same pair has five non-isomorphic bi-embeddings in a non-orientable surface.

Item Type: Journal Article
ISSN: 0195-6698
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 2903
Depositing User: Terry Griggs
Date Deposited: 20 Jun 2006
Last Modified: 02 Dec 2010 19:48
URI: http://oro.open.ac.uk/id/eprint/2903
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