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Maximum genus embeddings of Steiner triple systems

Authors :
Grannell, Mike J.
Griggs, Terry S.
Širáň, Jozef
Source :
European Journal of Combinatorics. Apr2005, Vol. 26 Issue 3/4, p401-416. 16p.
Publication Year :
2005

Abstract

We prove that for <f>n>3</f> every <f>STS(n)</f> has both an orientable and a nonorientable embedding in which the triples of the <f>STS(n)</f> appear as triangular faces and there is just one additional large face. We also obtain detailed results about the possible automorphisms of such embeddings. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
01956698
Volume :
26
Issue :
3/4
Database :
Academic Search Index
Journal :
European Journal of Combinatorics
Publication Type :
Academic Journal
Accession number :
16210122
Full Text :
https://doi.org/10.1016/j.ejc.2004.01.014