Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 288, Pages 230–247
DOI: https://doi.org/10.1134/S0371968515010161 (Mi tm3593) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Density bounds for outer parallel domains of unit ball packings

Károly Bezdekab, Zsolt Lángic

a Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
b Department of Mathematics, University of Pannonia, Veszprém, Hungary
c Department of Geometry, Budapest University of Technology and Economics, Budapest, Hungary
Full-text PDF (282 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968515010161
Abstract: We give upper bounds for the density of unit ball packings relative to their outer parallel domains and discuss their connection to contact numbers. We also introduce packings of soft balls and give upper bounds for the fraction of space covered by them.
Funding agency Grant number
Natural Sciences and Engineering Research Council of Canada (NSERC)
János Bolyai Research Scholarship of the Hungarian Academy of Sciences
The first author was partially supported by a discovery grant of the Natural Sciences and Engineering Research Council of Canada. The second author was partially supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences.
Received in September 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 288, Pages 209–225
DOI: https://doi.org/10.1134/S0081543815010162
Bibliographic databases:
Document Type: Article
UDC: 514.1
Language: English
Citation: Károly Bezdek, Zsolt Lángi, “Density bounds for outer parallel domains of unit ball packings”, Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 288, MAIK Nauka/Interperiodica, Moscow, 2015, 230–247; Proc. Steklov Inst. Math., 288 (2015), 209–225
Citation in format AMSBIB
\Bibitem{BezLan15}
\by K\'aroly~Bezdek, Zsolt~L\'angi
\paper Density bounds for outer parallel domains of unit ball packings
\inbook Geometry, topology, and applications
\bookinfo Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 288
\pages 230--247
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3593}
\crossref{https://doi.org/10.1134/S0371968515010161}
\elib{https://elibrary.ru/item.asp?id=23302209}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 288
\pages 209--225
\crossref{https://doi.org/10.1134/S0081543815010162}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000353881900016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928714095}
Linking options:
  • https://www.mathnet.ru/eng/tm3593
  • https://doi.org/10.1134/S0371968515010161
  • https://www.mathnet.ru/eng/tm/v288/p230
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024