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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:
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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
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\paper The twist number of planar linear trees
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\pages 41--92
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:14
    References:53
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