Classification of some large sets and designs

Journal of Geometry - Tập 67 - Trang 105-110 - 2000
Ziba Eslami1,2, Gholamreza B. Khosrovshahi1,2
1Department of Mathematics, University of Tehran, Iran
2Institute for studies in theoretical Physics and Mathematics (IPM), Tehran, Iran

Tóm tắt

In this paper, we briefly introduce an algorithm, based on the standard basis of trades, which has proven successful in the complete classification of certain combinatorial objects.

Tài liệu tham khảo

Z.Eslami, G.B.Khosrovshahi and B.Tayfeh-Rezaie, On classification of 2-(8, 3) and 2-(9, 3) trades, submitted. Z.Eslami, G.B.Khosrovshahi and B.Tayfeh-Rezaie, On halvings of the 2-(10, 3, 8) design.J. Statist. Plann. Inference, to appear. Z.Eslami and G.B.Khosrovshahi A complete classification of 3-(11, 4, 4) designs with nontrivial automorphism group, submitted. R.L. Graham, S.-Y.R. Li andW.-C.W. Li, On the structure of t-designs,SIAM J. Algebraic Discrete Methods,1 (1980), 8–14. G.B. Khosrovshahi andS. Ajoodani-Namini, A new basis for trades,SIAM J. Discrete Math. 3 (1990), 364–372. G.B. Khosrovshahi andC. Maysoori, On the bases for trades,Linear Algebra Appl. 226–228 (1990), 731–748.