Results 21 to 30 of about 102,634 (265)
3-Group Divisible Designs with 3 Groups and Block Size 5
Journal of Mathematics, 2023 A 3-GDD (n, 2, k, λ1, λ2) was defined by combining the definitions of a group divisible design and a t-design. In this paper, we extend the definitions to 3 groups and block size 5, and we denote such GDD by 3-GDD (n, 3, 5, μ1, μ2).
Zebene Girma Tefera +2 more
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Cyclic Block Designs With Block Size 3
European Journal of Combinatorics, 1981 We prove that the necessary conditions for the existence of cyclic block designs with block size 3 are sufficient with two exceptions.
Marlene J. Colbourn, Charles J. Colbourn
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On the Classification of Splitting (v, u×c, λ) BIBDs
Cybernetics and Information Technologies, 2018 The (v, u×c, λ)-splitting balanced incomplete block designs correspond to c-splitting authentication codes. We classify splitting balanced incomplete block designs with definite parameters.
Zhelezova Stela
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On block designs with repeated blocks
Discrete Mathematics, 1992 This paper is concerned with balanced incomplete block designs in which repeated blocks are allowed. If \({\mathcal D}\) is such a \((v,k,\lambda)\)- design (using the standard notation), let \(b^*\) denote the number of distinct blocks. Let \(BIBD(v,k,\lambda| b^*)\) denote the family of all such designs \({\mathcal D}\). Fixing the number of points \(
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Blocking Sets in Designs with Block Size 4
European Journal of Combinatorics, 1990 Constructions are given which produce block designs with \(\lambda=1\) or 2 and \(k=4\) admitting a blocking set. The construction includes all admissible orders \(n\) with \(\lambda=1,2\) and \(k=4\) except 8 cases. There are four separate constructions, one for \(\lambda=1\) and \(n\equiv1\) mod 12, one for \(\lambda=1\) and \(n\equiv 4\) mod 12, one
Dean G. Hoffman +2 more
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Statistical Theory and Related FieldsIn mixture experiments, the observed response is determined by the relative proportions of the components, consequently rendering the experimental region a simplex.
Jiawei Bao, Yu Tang
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Optimal Designs for Proportional Interference Models with Different Guarding Strategies
Mathematics, 2023 Interference models are commonly used in agriculture, industry, and other related fields. Optimal designs for these models are important topics in block designs.
Futao Zhang, Xiangshun Kong
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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Three-way cross designs for animal breeding experiments
Indian Journal of Animal Sciences, 2016 Three-way crossbreeding has been a major tool for the development of present day commercial breeds. The hybrids thus produced are more stable and they exhibit individual as well as population buffering mechanism because of the broad genetic base.
MOHD HARUN +3 more
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Some self-blocking block designs
Discrete Mathematics, 1989 A balanced incomplete block design D is said to be self-blocking if (i) the blocking sets of minimum cardinality of D form a block design \(D^ c\) and (ii) the blocking sets of minimum cardinality of \(D^ c\) are precisely the blocks of D. In this paper it is shown that the classical projective planes \(PG(2,q^ 2)\) and the classical affine planes AG(2,
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