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Anti-Pasch optimal packings with triples

Demirkale, Fatih; Donovan, Diane and Grannell, Mike (2019). Anti-Pasch optimal packings with triples. Journal of Combinatorial Designs, 27(6) pp. 353–368.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1002/jcd.21646
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Abstract

It is shown that for v ≠ 6, 7, 10, 11, 12, 13, there exists an optimal packing with triples on v points that contains no Pasch configurations. Furthermore, for all v ≡ 5 (mod 6), there exists a pairwise balanced design of order v, whose blocks are all triples apart from a single quintuple, and that has no Pasch configurations amongst its triples.

Item Type: Journal Item
Copyright Holders: 2019 Wiley Periodicals, Inc.
ISSN: 1520-6610
Keywords: maximum partial triple system; optimal packing with triples; 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: 58862
Depositing User: Mike Grannell
Date Deposited: 28 Jan 2019 12:45
Last Modified: 13 May 2019 19:14
URI: http://oro.open.ac.uk/id/eprint/58862
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