ON LARGE SETS OF PAIRWISE DISJOINT TRANSITIVE TRIPLE SYSTEMS

作     者：常彦勋 康庆德 

作者机构：Institute of Mathematics Hebei Normal College Shijiazhuang 050091 PRC 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1992年第37卷第2期

页      面：171-171页

核心收录：

学科分类：07[理学] 08[工学] 

主　　题：triple collection belongs exactly ordered disjoint struction stence letter 

摘      要：Let X be a set of v elements (v≥3). A transitive triple from X is a collection of three ordered pairs (x, y), (y, z)and (x, z), where x, y and z are distinct dements of X. It is denoted by (x, y, z). A transitive triple system on X is a pair (X, B), where B is a collection of transitive triples from X such that each ordered pair of distinct elements of X belongs to exactly one transitive triple of B. The system is denoted by TTS(v). It is well known that the spectrum for TTS(v)is the set of all v≡0, 1 (mod 3).