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Incomplete group divisible designs with block size four and general index

✍ Scribed by Li-dong Wang; Hai-rong Kong; Hong-juan Liu


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
259 KB
Volume
27
Category
Article
ISSN
0168-9673

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πŸ“œ SIMILAR VOLUMES


Incomplete group divisible designs with
✍ J. Wang πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 141 KB

## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, group‐type (__g, h__)^__u__^ and index unity. It is shown that the necessary conditions for the existence of such an IGDD are also sufficient with three exceptions and six po

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In this paper we study the group-divisible designs with block size four on at most 30 points. For all but three of the possible group types, we determine the existence or non-existence of the design.

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Ξ±-Resolvable group divisible designs wit
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## Abstract A group divisible design __GD__(__k__,Ξ»,__t__;__tu__) is α‐resolvable if its blocks can be partitioned into classes such that each point of the design occurs in precisely Ξ± blocks in each class. The necessary conditions for the existence of such a design are Ξ»__t__(__u__β€‰βˆ’β€‰1) = __r__(__

Resolvable modified group divisible desi
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## Abstract A resolvable modified group divisible design (RMGDD) is an MGDD whose blocks can be partitioned into parallel classes. In this article, we investigate the existence of RMGDDs with block size three and show that the necessary conditions are also sufficient with two exceptions. Β© 2005 Wil