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Identical twin Steiner triple systems

Grannell, M. J. and Lovegrove, G. J. (2016). Identical twin Steiner triple systems. The Australasian Journal of Combinatorics, 66(1) pp. 130–141.

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Abstract

Two Steiner triple systems, each containing precisely one Pasch configuration which, when traded, switches one system to the other, are called twin Steiner triple systems. If the two systems are isomorphic the systems are called identical twins. Hitherto, identical twins were only known for orders 21, 27 and 33. In this paper we construct infinite families of identical twin Steiner triple systems.

Item Type: Journal Item
Copyright Holders: 2016 The Australasian Journal of Combinatorics
ISSN: 2202-3518
Keywords: Pasch configuration; Steiner triple system
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 46953
Depositing User: Mike Grannell
Date Deposited: 04 Aug 2016 10:07
Last Modified: 06 May 2019 12:39
URI: http://oro.open.ac.uk/id/eprint/46953
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