Given an ordered set of n items and an unknown subset P of up to p positive elements, we want to identify P by asking the least number of queries ‘does Q intersect P?’ where Q must consist of consecutive elements. This Interval Group Testing problem arises in the context of splice site detection in genes. We study algorithms that operate in a few stages where queries chosen depending on previous answers, are performed in parallel. We obtain tight bounds for two-stage strategies. Finally, we get results for any number of stages and positives.

Optimal Group Testing Strategies with Interval Queries and their Application to Splice Site Detection

CICALESE, Ferdinando;VACCARO, Ugo
2005-01-01

Abstract

Given an ordered set of n items and an unknown subset P of up to p positive elements, we want to identify P by asking the least number of queries ‘does Q intersect P?’ where Q must consist of consecutive elements. This Interval Group Testing problem arises in the context of splice site detection in genes. We study algorithms that operate in a few stages where queries chosen depending on previous answers, are performed in parallel. We obtain tight bounds for two-stage strategies. Finally, we get results for any number of stages and positives.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1000482
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