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Ubiquitous configurations in Steiner triple systems
Author(s) -
Mendelsohn Eric,
Rosa Alexander
Publication year - 1997
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/(sici)1520-6610(1997)5:1<13::aid-jcd2>3.0.co;2-0
Subject(s) - combinatorics , line (geometry) , spectrum (functional analysis) , steiner system , mathematics , computer science , physics , geometry , quantum mechanics
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. © 1997 John Wiley & Sons, Inc.