License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2019.2
URN: urn:nbn:de:0030-drops-114983
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/11498/
Go to the corresponding LIPIcs Volume Portal

Bshouty, Nader H.

Lower Bound for Non-Adaptive Estimation of the Number of Defective Items

pdf-format:
LIPIcs-ISAAC-2019-2.pdf (0.4 MB)

Abstract

We prove that to estimate within a constant factor the number of defective items in a non-adaptive randomized group testing algorithm we need at least Omega~(log n) tests. This solves the open problem posed by Damaschke and Sheikh Muhammad in [Peter Damaschke and Azam Sheikh Muhammad, 2010; Peter Damaschke and Azam Sheikh Muhammad, 2010].

BibTeX - Entry

@InProceedings{bshouty:LIPIcs:2019:11498,
  author =	{Nader H. Bshouty},
  title =	{{Lower Bound for Non-Adaptive Estimation of the Number of Defective Items}},
  booktitle =	{30th International Symposium on Algorithms and Computation (ISAAC 2019)},
  pages =	{2:1--2:9},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-130-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{149},
  editor =	{Pinyan Lu and Guochuan Zhang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2019/11498},
  URN =		{urn:nbn:de:0030-drops-114983},
  doi =		{10.4230/LIPIcs.ISAAC.2019.2},
  annote =	{Keywords: Group Testing, Estimation, Defective Items}
}

Keywords: Group Testing, Estimation, Defective Items
Collection: 30th International Symposium on Algorithms and Computation (ISAAC 2019)
Issue Date: 2019
Date of publication: 28.11.2019

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI