๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The spectrum of cyclic group divisible designs with block size three

โœ Scribed by Robert P. Gallant; Zhike Jiang; Alan C. H. Ling

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
371 KB
Volume
7
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

โœฆ Synopsis

We determine a necessary and sufficient condition for the existence of a cyclic {3} -GDD with a uniform group size g. Recursive and new computational methods are introduced to settle this problem completely.

๐Ÿ“œ SIMILAR VOLUMES

The spectrum of ฮฑ-resolvable designs wit
The spectrum of ฮฑ-resolvable designs with block size four
โœ Troy M. J. Vasiga; Steven Furino; Alan C. H. Ling ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 147 KB ๐Ÿ‘ 1 views

An a-resolvable BIBD is a BIBD with the property that the blocks can be partitioned into disjoint classes such that every class contains each point of the design exactly times. In this paper, we show that the necessary conditions for the existence of -resolvable designs with block size four are sufยฎ

On the E-Optimality of Block Designs wit
On the E-Optimality of Block Designs with Unequal Block Sizes
โœ Dr. Henryk Brzeskwiniewicz ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 192 KB ๐Ÿ‘ 1 views

In this paper an inequality for the smallest positive eigenvalues of the \_C-matrix of a block design are derived. This inequality is a generalization of a result by CONSTANTINE (1982) to the caw of unequal block sizes. On the basis of the above result a certain E-optimality criterium of block desig