Overlaps help: Improved bounds for group testing with interval queries

Cicalese, Ferdinando; Damaschke, Peter; Tansini, Libertad; Werth, Sören

doi:10.1016/j.dam.2006.07.002

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Our Results and Its Relation To Group Testing1

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Cited by 16 publications

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“…Still d defectives can be identified by O(d log n) tests [3][4][5]. Motivated by another DNA-related matter, interval group testing with a further restriction is studied in the mentioned papers: Only a few rounds of simultaneous tests are permitted.…”

Section: Our Results and Its Relation To Group Testingmentioning

confidence: 99%

Finding defectives on a line by random docking and interval group tests

Damaschke

2017

Discrete Math. Algorithm. Appl.

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Suppose that some of the n elements of a totally ordered structure is defective, and several repair robots are at our disposal. They can dock at a random element, move at unit speed or leave, and send each other signals if there is no defective between them. We show that, by using only two robots that obey simple rules, the defective can be localized in O( √ n) time, which is also optimal. A variation of our strategy needs three robots but has a more predictable behavior. The model is motivated by a conjectured DNA repair mechanism, and it combines group testing with geometric search.

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Section: Our Results and Its Relation To Group Testingmentioning

confidence: 99%