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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 317–322
DOI: https://doi.org/10.1134/S0371968515030267 (Mi tm3636) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Chain development

Yu. V. Malykhin, E. V. Shchepin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.1134/S0371968515030267
Abstract: In a finite set $X$ with distance, we introduce a so-called chain distance. This distance generates a partition of $X$ into clusters such that any point inside each cluster can be connected with any other point of the same cluster by a chain whose every link does not exceed a given threshold value. We construct a chain development, by which we mean a mapping of $X$ into a straight line that preserves the chain distance and allows one to rapidly perform clustering. We also present an efficient algorithm for constructing a chain development.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 300–305
DOI: https://doi.org/10.1134/S0081543815060267
Bibliographic databases:
Document Type: Article
UDC: 519.1+519.25
Language: Russian
Citation: Yu. V. Malykhin, E. V. Shchepin, “Chain development”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 317–322; Proc. Steklov Inst. Math., 290:1 (2015), 300–305
Citation in format AMSBIB
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\vol 290
\pages 317--322
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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