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arXiv · 1812.08850

Finding non-minority balls with majority and plurality queries

Huilan Chang·Dániel Gerbner·Balázs Patkós
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Abstract

Given a set of $n$ colored balls, a \textit{majority, non-minority or plurality ball} is one whose color class has size more than $n/2$, at least $n/2$ or larger than any other color class, respectively. We describe linear time algorithms for finding non-minority balls using query sets of size $q$ of the following form: the answer to a majority/plurality query $Q$ is a majority/plurality ball in $Q$ or the statement that there is no such ball in $Q$.

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Huilan Chang, Dániel Gerbner, Balázs Patkós. 2018-12-20. Finding non-minority balls with majority and plurality queries. https://arxiv.org/abs/1812.08850

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