The Open UniversitySkip to content
 

Biembedding Steiner Triple Systems in Surfaces Using the Bose Construction

Griggs, T. S.; Psomas, C. and Širáň, J. (2015). Biembedding Steiner Triple Systems in Surfaces Using the Bose Construction. Journal of Combinatorial Designs, 23(3) pp. 91–100.

DOI (Digital Object Identifier) Link: https://doi.org/10.1002/jcd.21386
Google Scholar: Look up in Google Scholar

Abstract

A uniform framework is presented for biembedding Steiner triple systems obtained from the Bose construction using a cyclic group of odd order, in both orientable and nonorientable surfaces. Within this framework, in the nonorientable case, a formula is given for the number of isomorphism classes and the particular biembedding of Ducrocq and Sterboul (preprint 18pp., 1978) is identified. In the orientable case, it is shown that the biembedding of Grannell et al. (J Combin Des 6, 325–336) is, up to isomorphism, the unique biembedding of its type. Automorphism groups of the biembeddings are also given.

Item Type: Journal Item
Copyright Holders: 2014 Wiley Periodicals
ISSN: 1520-6610
Keywords: Steiner triple system; Bose construction; surface; biembedding
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 45315
Depositing User: Jozef Širáň
Date Deposited: 12 Feb 2016 13:19
Last Modified: 18 Jun 2020 02:03
URI: http://oro.open.ac.uk/id/eprint/45315
Share this page:

Metrics

Altmetrics from Altmetric

Citations from Dimensions

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU