Pooling semilattices and non-adaptive pooling designs

Jun Guo; Kaishun Wang; Chih-wen Weng

doi:10.1016/j.disc.2013.12.004

Pooling semilattices and non-adaptive pooling designs

Jun Guo^*, Kaishun Wang, Chih-wen Weng

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In Huang and Weng (2004), Huang and Weng introduced pooling spaces, and constructed pooling designs from a pooling space. In this paper, we introduce the concept of pooling semilattices and prove that a pooling semilattice is a pooling space, then show how to construct pooling designs from a pooling semilattice. Moreover, we give many examples of pooling semilattices and thus obtain the corresponding pooling designs.

Original language	English
Pages (from-to)	64-72
Number of pages	9
Journal	Discrete Mathematics
Volume	320
Issue number	1
DOIs	https://doi.org/10.1016/j.disc.2013.12.004
State	Published - 6 Apr 2014

Keywords

Pooling design
Pooling semilattice
Pooling space
Regular pooling semilattice
Semilattice

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10.1016/j.disc.2013.12.004

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abstract = "In Huang and Weng (2004), Huang and Weng introduced pooling spaces, and constructed pooling designs from a pooling space. In this paper, we introduce the concept of pooling semilattices and prove that a pooling semilattice is a pooling space, then show how to construct pooling designs from a pooling semilattice. Moreover, we give many examples of pooling semilattices and thus obtain the corresponding pooling designs.",

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AB - In Huang and Weng (2004), Huang and Weng introduced pooling spaces, and constructed pooling designs from a pooling space. In this paper, we introduce the concept of pooling semilattices and prove that a pooling semilattice is a pooling space, then show how to construct pooling designs from a pooling semilattice. Moreover, we give many examples of pooling semilattices and thus obtain the corresponding pooling designs.

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KW - Pooling space

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KW - Semilattice

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Pooling semilattices and non-adaptive pooling designs

Abstract

Keywords

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