Finding one excellent element in case of one lie (2507.13948v1)

Published 18 Jul 2025 in math.CO

Abstract: 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.

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