Construction techniques for anti-pasch steiner triple systems

A. C.H. Ling, C. J. Colbourn, M. J. Grannell, T. S. Griggs

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Four methods for constructing anti-Pasch Steiner triple systems are developed. The first generalises a construction of Stinson and Wei to obtain a general singular direct product construction. The second generalises the Bose construction. The third employs a construction due to Lu. The fourth employs Wilson-type inflation techniques using Latin squares having no subsquares of order 2. As a consequence of these constructions we are able to produce anti-Pasch systems of order v for v ≡ 1 or 7 (mod 18), for v ≡ 49 (mod 72), and for many other values of v.

Original languageEnglish (US)
Pages (from-to)641-657
Number of pages17
JournalJournal of the London Mathematical Society
Volume61
Issue number3
DOIs
StatePublished - Jun 2000
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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