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Semi-cyclic holey group divisible designs with block size three

✍ Scribed by Feng, Tao; Wang, Xiaomiao; Chang, Yanxun


Book ID
120964993
Publisher
Springer
Year
2013
Tongue
English
Weight
317 KB
Volume
74
Category
Article
ISSN
0925-1022

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πŸ“œ SIMILAR VOLUMES


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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.

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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
✍ Chengmin Wang; Yu Tang; Peter Danziger πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## 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

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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.