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Anti‐Pasch optimal packings with triples
Author(s) -
Demirkale Fatih,
Donovan Diane,
Grannell Mike
Publication year - 2019
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21646
Subject(s) - mathematics , pairwise comparison , combinatorics , order (exchange) , statistics , economics , finance
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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