Directed Covering with Block Size 5 and Index Odd
โ Scribed by Ahmed M. Assaf; H. Alhalees; L.P.S. Singh
- Book ID
- 104444129
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract This article looks at (5,ฮป) GDDs and (__v__,5,ฮป) pair packing and pair covering designs. For packing designs, we solve the (4__t__,5,3) class with two possible exceptions, solve 16 open cases with ฮป odd, and improve the maximum number of blocks in some (__v__, 5, ฮป) packings when __v__
A (v, K, A) packing design of order v, block size K and index 1 is a collection of K-element subsets, called blocks, of a v-set V such that every 2-subset of V occurs in at most I blocks. The packing problem is to determine the maximum number of blocks in a packing design. The only previous work on
## Abstract A __t__โ(__v__, __k__, ฮป) covering design is a set of __b__ blocks of size __k__ such that each __t__โset of points occurs in at least ฮป blocks, and the covering number __C__~ฮป~(__v__, __k__, __t__) is the minimum value of __b__ in any __t__โ(__v__, __k__, ฮป) covering design. In this ar