THE CONSTRUCTION OF LARGE SETS OF DISJOINT MENDELSOHN TRIPLE SYSTEMS OF ORDER 2~n+2  

作　　者：康庆德 

机构地区：[1]Department of Mathematics, Eindhoven University of Technology, the Netherlands Department of Mathematics.Hebei Normal College,Shijiazhuang 050091,PRC.

出　　处：《Chinese Science Bulletin》1990年第10期801-805,共5页

摘　　要：A Mendelsohn triple system on a set X is a pair(X, B), where B is a collection of cyclically ordered triples of distinct elements from X such that each ordered pair of distinct elements from X is covered by a unique triple from B. (Here the cyclic triples (x, y, z ), (y, z, x ) and (z, x, y ) are considered equal, and cover the three pairs (x, y), (y, z)and (z, x). ) If |X|=v, this system is denoted by MTS(v). It is well known that an MTS(v)does exist if and only if v≡0, 1(mod 3), v≠6 (cf. [1]).

关 键 词：pair CLASS TRIPLE CLASS trio. 

分 类 号：N[自然科学总论]