Sbornik: Mathematics
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
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 1996, Volume 187, Issue 8, Pages 1149–1195
DOI: https://doi.org/10.1070/SM1996v187n08ABEH000151 (Mi sm151) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The twist number of planar linear trees

A. O. Ivanov, A. A. Tuzhilin

M. V. Lomonosov Moscow State University
English version PDF (2797 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1996v187n08ABEH000151
Abstract: New natural geometric characteristics are introduced for planar linear trees: the boundary set and the twist number. It turns out that the number of convexity levels of the boundary set is bounded above by a linear function of the twist number. As consequences of this general fact, some non-trivial assertions are obtained about the geometry of linear trees that are extremals of the length or weight functional.
Received: 15.11.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 8, Pages 41–92
DOI: https://doi.org/10.4213/sm151
Bibliographic databases:
UDC: 514.77
MSC: Primary 05C05, 05C35; Secondary 05C90, 90C35
Language: English
Original paper language: Russian
Citation: A. O. Ivanov, A. A. Tuzhilin, “The twist number of planar linear trees”, Mat. Sb., 187:8 (1996), 41–92; Sb. Math., 187:8 (1996), 1149–1195
Citation in format AMSBIB
\Bibitem{IvaTuz96}
\by A.~O.~Ivanov, A.~A.~Tuzhilin
\paper The twist number of planar linear trees
\jour Mat. Sb.
\yr 1996
\vol 187
\issue 8
\pages 41--92
\mathnet{http://mi.mathnet.ru/sm151}
\crossref{https://doi.org/10.4213/sm151}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1418341}
\zmath{https://zbmath.org/?q=an:0868.05020}
\transl
\jour Sb. Math.
\yr 1996
\vol 187
\issue 8
\pages 1149--1195
\crossref{https://doi.org/10.1070/SM1996v187n08ABEH000151}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VW99300010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0030305555}
Linking options:
  • https://www.mathnet.ru/eng/sm151
  • https://doi.org/10.1070/SM1996v187n08ABEH000151
  • https://www.mathnet.ru/eng/sm/v187/i8/p41
    • 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
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:404
    Russian version PDF:196
    English version PDF:11
    References:47
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024