Results 1 to 10 of about 2,206 (230)
A new regular group divisible design
Examples and Counterexamples, 2021 A regular group divisible design with parameters: v=b=39, r=k=9, λ1=0, λ2=2, m=13, n=3is obtained using balanced generalized Weighing matrix over a dihedral group of order 6.
Shyam Saurabh, Kishore Sinha
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Existence of a new class of group divisible designs with block size four
Nantong Daxue xuebao. Ziran kexue ban, 2022 Group divisible designs are not only kinds of classical designs in combinatorial design theory, but also have extremely important applications in coding theory.
TANG Jiahao WANG Jinhua
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Genetic susceptibility to multiple sclerosis in African Americans
PLoS ONE, 2021 Objective To explore the nature of genetic-susceptibility to multiple sclerosis (MS) in African-Americans. Background Recently, the number of genetic-associations with MS has exploded although the MS-associations of specific haplotypes within the major ...
Douglas S. Goodin +4 more
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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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Designs for graphs with six vertices and ten edges
Electronic Journal of Graph Theory and Applications, 2019 The design spectrum has been determined for two of the 15 graphs with six vertices and ten edges. In this paper we completely solve the design spectrum problem for a further eight of these graphs.
A. D. Forbes, T. S. Griggs, K. A. Forbes
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On group divisible covering designs
Discrete Mathematics, 1999 The notion of group divisible covering design (GDCD) is introduced. The number of blocks in a minimum GDCD with block size \(k\) and group-type \(g^u\), is the covering number \( C(k,g^u)\), whose values are determined for all positive integers \(g\) and \(u\geq 3\).
Katherine Heinrich, Jianxing Yin
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Regular A-optimal Spring Balance Weighing Designs
Revstat Statistical Journal, 2012 The problem of indicating an A-optimal spring balance weighing design providing that the measurement errors have different variances and are uncorrelated is considered.
Małgorzata Graczyk
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Divisible designs with dual translation group [PDF]
Designs, Codes and Cryptography, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sabine Giese, Ralph-Hardo Schulz
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Highly D‑efficient Weighing Design and Its Construction
Acta Universitatis Lodziensis. Folia Oeconomica, 2017 In this paper, some aspects of design optimality on the basis of spring balance weighing designs are considered. The properties of D‑optimal and D‑efficiency designs are studied.
Bronisław Ceranka, Małgorzata Graczyk
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Constructions of Sarvate-Beam Group Divisible Designs
Graphs and Combinatorics, 2022 A balanced incomplete block design is a set system in which all pairs of distinct elements occur with a constant frequency. By contrast, a Sarvate-Beam design induces an interval of distinct frequencies on pairs. In this paper, we settle the existence of a Sarvate-Beam variant of group divisible designs of uniform type with block size three.
Peter J. Dukes, Joanna Niezen
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