ALMOST EQUIDISTANT POINTS ON S D-1

Károly Bezdek; Zsolt Lángi

doi:10.1023/a:1004851109255

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Periodica Mathematica Hungarica

Volume/Issue:: Volume 39: Issue 1-3

ALMOST EQUIDISTANT POINTS ON S ^D-1

Authors:

Károly Bezdek

Károly Bezdek
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Zsolt Lángi

Zsolt Lángi
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Pages:: 139–144

Online Publication Date:: 28 Dec 2004

Publication Date:: 01 Dec 2000

Article Category:: Research Article

DOI:: https://doi.org/10.1023/a:1004851109255

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Abstract

Let S^d-1 denote the (d − 1)-dimensional unit sphere centered at the origin of the d-dimensional Euclidean space. Let 0 < α < π. A set P of points in S^d-1 is called almost α-equidistant if among any three points of P there is at least one pair lying at spherical distance α. In this note we prove upper bounds on the cardinality of P depending only on d.

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Periodica Mathematica Hungarica

Print ISSN:: 0031-5303

Online ISSN:: 1588-2829

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Periodica Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1971
Volumes per Year	2
Issues per Year	4
Founder	Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's Address	H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0031-5303 (Print)
ISSN	1588-2829 (Online)