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Ubiquitous configurations in Steiner triple systems

✍ Scribed by Eric Mendelsohn; Alexander Rosa

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 347 KB
Volume: 5
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1997)5:1<13::aid-jcd2>3.0.co;2-0

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✦ Synopsis

A Steiner triple system S is a C-ubiquitous (where C is a configuration) if every line of S is contained in a copy of C, and is n-ubiquitous if it is C-ubiquitous for every n-line configuration C. We determine the spectrum of 4-ubiquitous Steiner triple systems as well as the spectra of C-ubiquitous Steiner triple systems for all configurations C with five lines.

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