Journal article
The fine structure of threefold triple systems: υ ≡ 1 or 3 (mod 6)
Abstract
The fine structure of a triple system of index λ is the vector (c1, … , cλ), where c1 is the number of triples appearing precisely i times in the system. We determine necessary conditions for a vector to be the fine structure of a threefold triple system and prove the sufficiency of these conditions for all υ ≡ 1, 3 (mod 6), υ ⩾ 19.
Authors
Colbourn CJ; Mathon RA; Rosa A; Shalaby N
Journal
Discrete Mathematics, Vol. 92, No. 1-3, pp. 49–64
Publisher
Elsevier
Publication Date
November 1991
DOI
10.1016/0012-365x(91)90266-5
ISSN
0012-365X