可分解不完全可分组设计的存在性

On Existence of Resolvable Incomplete Group Divisible Designs

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摘要可分解不完全可分组设计(Resolvable Incomplete Group Divisible Design或IRGDD)被广泛地用于构造其他组合设计中.在该文中,我们证明了除u=6且m≡n≡0(mod 2)外,一个型为(m,n)u的3-IRGDD存在的必要条件也是充分的. Resolvable Incomplete Group Divisible Designs （IRGDDs ） are widely used in producing other combinatorial designs .In this paper ,it is proved that the necessary conditions for the existence of a 3 - IR‐GDD of type （m ,n） u are also sufficient except possibly only for u= 6 and m ≡ n≡ 0 （mod 2） .

作者朱翔

机构地区无锡职业技术学院基础部

出处《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第11期71-74,共4页 Journal of Southwest China Normal University(Natural Science Edition)

关键词可分解设计可分组设计不完全递归构造 resolvable designs group divisible designs incomplete recursive constructions

分类号 O157.2 [理学—基础数学]

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西南师范大学学报（自然科学版）

2014年第11期

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可分解不完全可分组设计的存在性

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