Lower Bounds for Covering Problems

Michael Segal

doi:10.1023/A:1015670603203

Lower Bounds for Covering Problems

Michael Segal

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

9 Scopus citations

Abstract

In this paper we present an Ω(nlog n) lower bound proof for several covering problems including the optimal line bipartition problem, min-max covering by two axis parallel rectangles, discrete and continuous two-center problems, two-line center problem, etc. Our proofs are based on using the 'rotational reduce technique' and well-known lower bound for the maximal gap problem.

Original language	English
Pages (from-to)	17-29
Number of pages	13
Journal	Journal of Mathematical Modelling and Algorithms
Volume	1
Issue number	1
DOIs	https://doi.org/10.1023/A:1015670603203
State	Published - 1 Dec 2002

Keywords

Max-gap problem
lower bounds
reductions

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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10.1023/A:1015670603203

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title = "Lower Bounds for Covering Problems",

abstract = "In this paper we present an Ω(nlog n) lower bound proof for several covering problems including the optimal line bipartition problem, min-max covering by two axis parallel rectangles, discrete and continuous two-center problems, two-line center problem, etc. Our proofs are based on using the 'rotational reduce technique' and well-known lower bound for the maximal gap problem.",

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AB - In this paper we present an Ω(nlog n) lower bound proof for several covering problems including the optimal line bipartition problem, min-max covering by two axis parallel rectangles, discrete and continuous two-center problems, two-line center problem, etc. Our proofs are based on using the 'rotational reduce technique' and well-known lower bound for the maximal gap problem.

KW - Max-gap problem

KW - lower bounds

KW - reductions

UR - https://www.scopus.com/pages/publications/45749085025

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DO - 10.1023/A:1015670603203

M3 - Article

AN - SCOPUS:45749085025

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JO - Journal of Mathematical Modelling and Algorithms

JF - Journal of Mathematical Modelling and Algorithms

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Lower Bounds for Covering Problems

Abstract

Keywords

ASJC Scopus subject areas

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