Truth tellers and liars with fewer questions

Gilad Braunschvig; Alon Brutzkus; David Peleg; Adam Sealfon

doi:10.1016/j.disc.2015.01.017

Truth tellers and liars with fewer questions

Gilad Braunschvig
, Alon Brutzkus
, David Peleg
, Adam Sealfon

Research output: Contribution to journal › Article › peer-review

Abstract

We study the problem of using binary questions to identify a single truth teller from a collection of p players, at most ℓ of whom may lie. Our focus is on trying to solve the problem using ℓ (or slightly more than ℓ) questions, which is the fewest feasible number of questions.

Original language	English
Pages (from-to)	1310-1316
Number of pages	7
Journal	Discrete Mathematics
Volume	338
Issue number	8
DOIs	https://doi.org/10.1016/j.disc.2015.01.017
State	Published - 6 Aug 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 Published by Elsevier B.V.

Funding

The authors are grateful to John Howard for introducing them to the problem, to Eylon Yogev and Yoav Ben-Shalom for helpful discussions, and to the anonymous referee for helpful comments. Research of the second author was supported by the Kupcinet-Getz Summer Science School at the Weizmann Institute . Research of the third author was supported by the Israel Science Foundation (grant 894/09 ), the I-CORE program of the Israel PBC and ISF (grant 4/11 ), the United States-Israel Binational Science Foundation (grant 2008348 ), the Israel Ministry of Science and Technology (infrastructures grant), and the Citi Foundation . Research of fourth author was supported by the Kupcinet-Getz International Summer Science School at the Weizmann Institute .

Funders	Funder number
Israel PBC
Kupcinet-Getz International Summer Science School
Kupcinet-Getz Summer Science School
Citi Foundation
United States-Israel Binational Science Foundation	2008348
Israel Science Foundation	4/11, 894/09
Israeli Centers for Research Excellence
Ministry of science and technology, Israel

Keywords

Knights and knaves
Searching with errors

Access to Document

10.1016/j.disc.2015.01.017

Cite this

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Truth tellers and liars with fewer questions

Abstract

Bibliographical note

Funding

Keywords

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