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Diskretnyi Analiz i Issledovanie Operatsii, 2016, Volume 23, Issue 4, Pages 102–115
DOI: https://doi.org/10.17377/daio.2016.23.526 (Mi da859) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Solving some vector subset problems by Voronoi diagrams

V. V. Shenmaier

Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (286 kB) Citations (30)
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DOI: https://doi.org/10.17377/daio.2016.23.526
Abstract: We propose a general approach to solving some vector subset problems in a Euclidean space that is based on higher-order Voronoi diagrams. In the case of a fixed space dimension, this approach allows us to find optimal solutions to these problems in polynomial time which is better than the runtime of available algorithms. Ill. 1, bibliogr. 16.
Keywords: computational geometry, vector subset problem, Euclidean space, Voronoi diagram, polynomial-time algorithm.
Funding agency Grant number
Russian Science Foundation 16-11-10041
Received: 20.05.2016
Revised: 15.06.2016
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 4, Pages 560–566
DOI: https://doi.org/10.1134/S199047891604013X
Bibliographic databases:
Document Type: Article
UDC: 519.176
Language: Russian
Citation: V. V. Shenmaier, “Solving some vector subset problems by Voronoi diagrams”, Diskretn. Anal. Issled. Oper., 23:4 (2016), 102–115; J. Appl. Industr. Math., 10:4 (2016), 560–566
Citation in format AMSBIB
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\by V.~V.~Shenmaier
\paper Solving some vector subset problems by Voronoi diagrams
\jour Diskretn. Anal. Issled. Oper.
\yr 2016
\vol 23
\issue 4
\pages 102--115
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\crossref{https://doi.org/10.17377/daio.2016.23.526}
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\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 4
\pages 560--566
\crossref{https://doi.org/10.1134/S199047891604013X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84996487016}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:33
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