Weak ϵ-nets have basis of size <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mi mathvariant="normal">ϵ</mml:mi><mml:mi mathvariant="normal">log</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mi mathvariant="normal">ϵ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math> in any dimension-Reference-Cited by-同舟云学术

Weak ϵ-nets have basis of size O(1/ϵlog(1/ϵ)) in any dimension

Author:

Mustafa Nabil H.,Ray Saurabh

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Control and Optimization,Geometry and Topology,Computer Science Applications

Reference8 articles.

4. Graph Theory;Diestel,2000

5. ε-nets and simplex range queries;Haussler;Discrete Comput. Geom.,1987

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