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A lower bound for the hitting set size for combinatorial rectangles and an application

Chandran, Sunil L (2003) A lower bound for the hitting set size for combinatorial rectangles and an application. In: Information Processing Letters, 86 (2). pp. 75-78.

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Official URL: http://dx.doi.org/10.1016/S0020-0190(02)00475-1

Abstract

We prove a lower bound of Omega(1/epsilon (m + log(d - a)) where a = [log(m) (1/4epsilon)] for the hitting set size for combinatorial rectangles of volume at least epsilon in [m](d) space, for epsilon is an element of [m(-(d-2)), 2/9] and d > 2. (C) 2002 Elsevier Science B.V. All rights reserved.

Item Type: Journal Article
Publication: Information Processing Letters
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Hitting set;Combinatorial rectangle;Combinatorial problems
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 03 Aug 2011 09:21
Last Modified: 03 Aug 2011 09:21
URI: http://eprints.iisc.ac.in/id/eprint/39709

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