On large sets of hybrid triple systems
โ Scribed by Qing-de Kang; Jian-guo Lei
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 352 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An MTS(v) [or DTS(v)] is said to be resolvable, denoted by RMTS(v) [or RDTS(v)], if its block set can be partitioned into parallel classes. An MTS(v) [or DTS(v)] is said to be almost resolvable, denoted by ARMTS(v) [or ARDTS(v)], if its bloak set can be partitioned into almost parallel classes. The
## Abstract A __large set__ of Kirkman triple systems of order __v__, denoted by __LKTS__(__v__), is a collection {(__X__, __B~i~__) : 1โโคโ__i__โโคโ__v__โโโ2}, where every (__X__,__B~i~__) is a __KTS__(__v__) and all __B~i~__ form a partition of all triples on __X__. Many researchers have studied th
In this note, a construction of the large sets of pairwise disjoint Mendelsohn triple systems of order 72k + 6, where k > 1 and k F 1 or 2 (mod 3), is given. Let X be a set of v elements (v 2 3). A cyclic triple from X is a collection of three pairs (x, y), (y,z) and (z, x), where x,y and z are dis