TY - JOUR
T1 - Support sizes of sixfold triple systems
AU - Colbourn, Charles J.
AU - Mahmoodian, Ebadollah S.
N1 - Funding Information:
Thanks especially to Alex Rosa for helpful discussions.T hanks also to M.B. Rostamabadfio r programminga ssistancefo r the small cases.R esearcho f the first author is supportedb y NSERC Canadau nderg rantA 0579,a nd researcho f the seconda uthoris supportedb y the Atomic Energy Commissiono f Iran. Much of this researchw as done while the seconda uthor was visitingt he University of Waterloo.
PY - 1993/5/15
Y1 - 1993/5/15
N2 - The support size of a triple system is the number of distinct triples appearing in it. We essentially determine the possible support sizes for triple systems with index six, leaving only one value in doubt for each order v≡8 (mod 12); in the process, we establish strong necessary conditions on the spectrum of support sizes for triple systems with any index λ ≤ 0.
AB - The support size of a triple system is the number of distinct triples appearing in it. We essentially determine the possible support sizes for triple systems with index six, leaving only one value in doubt for each order v≡8 (mod 12); in the process, we establish strong necessary conditions on the spectrum of support sizes for triple systems with any index λ ≤ 0.
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U2 - 10.1016/0012-365X(93)90482-9
DO - 10.1016/0012-365X(93)90482-9
M3 - Article
AN - SCOPUS:38249003504
SN - 0012-365X
VL - 115
SP - 103
EP - 131
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 1-3
ER -