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On the Bi-embeddability of Certain Steiner Triple Systems of Order 15
- Source :
-
European Journal of Combinatorics . Jul2002, Vol. 23 Issue 5, p499. 7p. - Publication Year :
- 2002
-
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. [Copyright &y& Elsevier]
- Subjects :
- *STEINER systems
*COMBINATORICS
Subjects
Details
- Language :
- English
- ISSN :
- 01956698
- Volume :
- 23
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- European Journal of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 8506870
- Full Text :
- https://doi.org/10.1006/eujc.2002.0559