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.

DOI: https://doi.org/10.1002/jcd.21646

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.

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About

• Item ORO ID
• 58862
• Item Type
• Journal Item
• ISSN
• 1520-6610
• Keywords
• maximum partial triple system; optimal packing with triples; Pasch configuration; Steiner triple system
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2019 Wiley Periodicals, Inc.
• Depositing User
• Mike Grannell