Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 1, Pages 17–25 (Mi vmumm291)  
This article is cited in 6 scientific papers (total in 6 papers)

Mathematics

Estimates of Steiner subratio and Steiner–Gromov ratio

A. C. Pahkomovaab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Delone Laboratory of Discrete and Computational Mathematics
Full-text PDF (270 kB) Citations (6)
References:
PDF
HTML
Abstract: A lower bound for $n$-pointed Steiner subratio and Steiner–Gromov ratio was obtained. As a corollary of the main theorem, the value of these ratios was calculated for several metric spaces, for example, for philogenetic ones. It was also proved, that any number from 0,5 to 1 could be a Steiner subratio or a Steiner–Gromov ratio of a certain metric space.
Key words: Steiner subratio, Steiner–Gromov ratio, Steiner problem, minimal filling, shortest trees, minimal spanning trees, philogenetic spaces.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00748-а
Ministry of Education and Science of the Russian Federation НШ-1410.2012.1
11.G34.31.0053
Received: 02.04.2012
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 1, Pages 16–23
DOI: https://doi.org/10.3103/S0027132214010033
Bibliographic databases:
Document Type: Article
UDC: 519.176
Language: Russian
Citation: A. C. Pahkomova, “Estimates of Steiner subratio and Steiner–Gromov ratio”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 1, 17–25; Moscow University Mathematics Bulletin, 69:1 (2014), 16–23
Citation in format AMSBIB
\Bibitem{Pah14}
\by A.~C.~Pahkomova
\paper Estimates of Steiner subratio and Steiner--Gromov ratio
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 1
\pages 17--25
\mathnet{http://mi.mathnet.ru/vmumm291}
\elib{https://elibrary.ru/item.asp?id=21251976}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 1
\pages 16--23
\crossref{https://doi.org/10.3103/S0027132214010033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896332523}
Linking options:
  • https://www.mathnet.ru/eng/vmumm291
  • https://www.mathnet.ru/eng/vmumm/y2014/i1/p17
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :31
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024