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Upravlenie Bol'shimi Sistemami, 2013, Issue 42, Pages 153–172 (Mi ubs665)  

This article is cited in 1 scientific paper (total in 1 paper)

Information Technology Applications in Control

Fast search algorithms for two metric characteristics problems on weighted graphs

A. R. Urakov, T. V. Timeryaev

Ufa State Aviation Technical UniversityNPO Saturn
Full-text PDF (222 kB) Citations (1)
References:
Abstract: Two problems are considered of metric characteristics search on weighted undirected graphs with non-negative edge weights. The first problem is to find the radius, diameter, at least one center, and one pair of peripheral vertices of an undirected graph with non-negative edge weights. In the second problem one also has the pre-calculated distances matrix. For these problems we propose fast search algorithms, which use only small fraction of graph vertices for metric characteristics search. The proposed algorithms are tested on various inputs against the other popular methods.
Keywords: metric characteristics of a graph, graph radius, graph diameter, graph center, graph peripheral vertices.
Document Type: Article
UDC: 519.173.5
BBC: 22.176
Language: Russian
Citation: A. R. Urakov, T. V. Timeryaev, “Fast search algorithms for two metric characteristics problems on weighted graphs”, UBS, 42 (2013), 153–172
Citation in format AMSBIB
\Bibitem{UraTim13}
\by A.~R.~Urakov, T.~V.~Timeryaev
\paper Fast search algorithms for two metric characteristics problems on weighted graphs
\jour UBS
\yr 2013
\vol 42
\pages 153--172
\mathnet{http://mi.mathnet.ru/ubs665}
Linking options:
  • https://www.mathnet.ru/eng/ubs665
  • https://www.mathnet.ru/eng/ubs/v42/p153
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Upravlenie Bol'shimi Sistemami
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    Abstract page:207
    Full-text PDF :174
    References:36
    First page:2
     
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