Spectrum of directed kirkman packing designs
โ Scribed by Yan Zhang; Beiliang Du
- Book ID
- 107500607
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2003
- Tongue
- English
- Weight
- 312 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1005-1031
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract A Kirkman holey packing (resp. covering) design, denoted by KHPD(__g^u^__) (resp. KHCD(__g^u^__)), is a resolvable (__gu__, 3, 1) packing (resp. covering) design of pairs with __u__ disjoint holes of size __g__, which has the maximum (resp. minimum) possible number of parallel classes.
Let v and k be positive integers. A (v, k, 1)-packing design is an ordered pair (V, B B B) where V is a v-set and B B B is a collection of k-subsets of V (called blocks) such that every 2-subset of V occurs in at most one block of B B B. The packing problem is mainly to determine the packing number
## Abstract In this note, a golf design of order 41 is constructed. Combined Colbourn and Nonay's result, the existence spectrum of golf design of order ฯ is the set {ฯ : ฯ โก1 (mod 2), ฯ โโฅโ3, ฯ โโ โ5}. ยฉ 2005 Wiley Periodicals, Inc. J Combin Designs 15: 84โ89, 2007