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杜北梁

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期刊论文

α- Resolvable Group Divisible Designs with Block Size Three

杜北梁Yan Zhang Beiliang Du

Published online 16 August 2004 in Wiley InterScience,-0001,():

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摘要/描述

A group divisible design GD (k, λ, t; tu ) isα-resolvable if its blocks can be partitioned into classes such that each point of the design occurs in precisely α blocks in each class. The necessary conditions for the existence of such a design are λt( u – 1) = r ( k – 1) , bk=rtu; k│αtu andα│ r. It is shown in this paper that these conditions are also sufficient when k =3, with some definite exceptions.

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