TY - JOUR
T1 - The fine structure of threefold triple systems
T2 - υ ≡ 1 or 3 (mod 6)
AU - Colbourn, Charles J.
AU - Mathon, Rudolf A.
AU - Rosa, Alexander
AU - Shalaby, Nabil
N1 - Funding Information:
of the authors is supported by NSERC
PY - 1991/11/17
Y1 - 1991/11/17
N2 - 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.
AB - 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.
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U2 - 10.1016/0012-365X(91)90266-5
DO - 10.1016/0012-365X(91)90266-5
M3 - Article
AN - SCOPUS:0011284427
SN - 0012-365X
VL - 92
SP - 49
EP - 64
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 1-3
ER -