منابع مشابه
Single change neighbor designs
A singl~ change neighbor design SCN(v, k) is a way of selecting a sequence of cycles of length k from a complete graph on v vertices with the properties: any cycle is derived from the preceding one by changing one vertex; and every· edge is covered in at least one cycle. Some properties of these designs are investigated. In particular, designs with the smallest possible number of cycles are con...
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Rees (1967) introduced neighbor designs in serology. Since then it is well investigated field. Neighbor balanced designs are more useful to remove the neighbor effects in experiments where the performance of a treatment is affected by the treatments applied to its neighboring plots. Neighbor designs ensure that treatment comparisons will be less affected by neighbor effects as possible. This pa...
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The purpose of this paper is to study optimality of circular neighborbalanced block designs when neighbor effects are present in the model. In the literature many optimality results are established for direct effects and neighbor effects separately, but few for total effects, that is, the sum of direct effect of treatment and relevant neighbor effects. We show that circular neighbor-balanced de...
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This paper considers the construction of generalized neighbor designs in circular blocks for several cases, which are useful in Serology. The initial blocks for the proposed designs are developed by using the method of cyclic shifts. Generalized neighbor designs are also constructed in linear blocks for v even. Catalogs of circular binary blocks generalized neighbor designs are compiled for all...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1977
ISSN: 0097-3165
DOI: 10.1016/0097-3165(77)90021-8