Open AccessFurther 6-sparse Steiner Triple Systems
Author(s) -
Anthony D. Forbes,
M. J. Grannell,
Terry S. Griggs
Publication year - 2009
Publication title -
graphs and combinatorics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.59
H-Index - 40
eISSN - 1435-5914
pISSN - 0911-0119
DOI - 10.1007/s00373-008-0819-3
Subject(s) - steiner system , combinatorics , mathematics , order (exchange) , prime (order theory) , discrete mathematics , economics , finance
We give a construction that produces 6-sparse Steiner triple systems of order v for all sufficiently large v of the form 3p, p prime and p ≡ 3 (mod 4). We also give a complete list of all 429 6-sparse systems with v
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