Strict group testing and the set basis problem

DOI10.1016/j.jcta.2014.04.005zbMath1407.05090OpenAlexW2003071155MaRDI QIDQ2452424

Azam Sheikh Muhammad, Gábor Wiener, Peter Damaschke

Publication date: 3 June 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2014.04.005

zbMATH Keywords

hypergraphgraph coloringgroup testing\(d\)-disjunct matrixset basis

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Hypergraphs (05C65) Statistical block designs (62K10) Coloring of graphs and hypergraphs (05C15) Randomized algorithms (68W20)

Related Items (1)

Rounds in a combinatorial search problem

Cites Work

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• Two new perspectives on multi-stage group testing
• Bounds on the length of disjunctive codes
• Families of finite sets in which no intersection of \(\ell\) sets is covered by the union of \(s\) others
• Exploring the missing link among \(d\)-separable, \(\overline d\)-separable and \(d\)-disjunct matrices
• A set coverage problem
• Families of finite sets in which no set is covered by the union of two others
• On the cut-off point for combinatorial group testing
• Simplified searching for two defects
• Some optimum non-adaptive hypergeometric group testing designs for identifying two defectives
• Optimal pooling designs with error detection
• Bounds on the rate of disjunctive codes
• Construction of \(d(H)\)\,-\,disjunct matrix for group testing in hypergraphs
• Improved adaptive group testing algorithms with applications to multiple access channels and dead sensor diagnosis
• On biclique coverings
• When is Individual Testing Optimal for Nonadaptive Group Testing?
• Combinatorial Group Testing for Corruption Localizing Hashing
• New constructions of superimposed codes
• Communication Complexity
• Group Testing With Random Pools: Optimal Two-Stage Algorithms
• Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
• Optimal Two-Stage Algorithms for Group Testing Problems
• Nonrandom binary superimposed codes
• Improved Combinatorial Group Testing Algorithms for Real‐World Problem Sizes
• Minimal completely separating systems

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