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conference paper

Sphere-of-Influence Graphs in Normed Spaces

Naszodi, Marton  
•
Pach, Janos  
•
Swanepoel, Konrad
January 1, 2018
Discrete Geometry And Symmetry: Dedicated To Karoly Bezdek And Egon Schulte On The Occasion Of Their 60Th Birthdays
Conference on Geometry and Symmetry

We showthat any k-th closed sphere-of-influence graph in a d-dimensional normed space has a vertex of degree less than 5dk, thus obtaining a common generalization of results of Furedi and Loeb (Proc AmMath Soc 121(4): 1063-1073, 1994 [1]) and Guibas et al. (Sphere-of-influence graphs in higher dimensions, Intuitive geometry [Szeged, 1991], 1994, pp. 131-137 [2]).

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Type
conference paper
DOI
10.1007/978-3-319-78434-2_16
Web of Science ID

WOS:000448501300016

Author(s)
Naszodi, Marton  
Pach, Janos  
Swanepoel, Konrad
Date Issued

2018-01-01

Publisher

SPRINGER

Publisher place

New York

Published in
Discrete Geometry And Symmetry: Dedicated To Karoly Bezdek And Egon Schulte On The Occasion Of Their 60Th Birthdays
ISBN of the book

978-3-319-78434-2

978-3-319-78433-5

Series title/Series vol.

Springer Proceedings in Mathematics & Statistics

Volume

234

Start page

293

End page

296

Subjects

Mathematics

•

Statistics & Probability

•

besicovitch covering theorem

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
DCG  
Event nameEvent placeEvent date
Conference on Geometry and Symmetry

Veszprem, HUNGARY

Jun 29-Jul 03, 2015

Available on Infoscience
December 13, 2018
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/152910
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