Finding one excellent element in case of one lie

Fuente: arXiv
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Autores principales: Gupta, Aanchal, Katona, Gyula O. H.
Formato: Preprint
Publicado: 2025
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author Gupta, Aanchal
Katona, Gyula O. H.
author_facet Gupta, Aanchal
Katona, Gyula O. H.
contents An n-element set contains an unknown number of excellent elements, and our goal is to identify at least one of these elements. The members of a family of subsets can be asked if they contain at least one excellent element or not. At most one of the answers can be wrong. We find the smallest family that finds one excellent element or claims that there is none.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13948
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Finding one excellent element in case of one lie
Gupta, Aanchal
Katona, Gyula O. H.
Combinatorics
05D05
An n-element set contains an unknown number of excellent elements, and our goal is to identify at least one of these elements. The members of a family of subsets can be asked if they contain at least one excellent element or not. At most one of the answers can be wrong. We find the smallest family that finds one excellent element or claims that there is none.
title Finding one excellent element in case of one lie
topic Combinatorics
05D05
url https://arxiv.org/abs/2507.13948