NEWTON NUMBERS FOR OVERLAPPING CIRCULAR DISCS

H. Harborth; M. Koch; L. Szabó

doi:10.1556/sscmath.37.2001.1-2.6

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 37: Issue 1-2

NEWTON NUMBERS FOR OVERLAPPING CIRCULAR DISCS

Authors:

H. Harborth

H. Harborth Please ask the editor of the journal.

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M. Koch

M. Koch Please ask the editor of the journal.

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L. Szabó

L. Szabó University of Pécs, Medical Faculty, First Department of Medicine H-7643 Pécs, Hungary

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Pages:: 119–130

Online Publication Date:: 19 Jul 2005

Publication Date:: 01 Mar 2001

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.37.2001.1-2.6

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Consider a family of closed unit circular discs in the plane. Two discs are called neighbours if they have a point in common. Let N(d) denote the maximum possible number of neighbours of one disc in a family of unit circular discs, where the distance between any two circle centers is at least d. HereN(d) is determined for 1 between any two circle centers is at least d. HereN(d) is determined for 1

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

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Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

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Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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