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Sbornik: Mathematics, 2005, Volume 196, Issue 1, Pages 63–75
DOI: https://doi.org/10.1070/SM2005v196n01ABEH000872 (Mi sm1261) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Coxeter transformation: deltoids, trefoils, and decay numbers

V. A. Kolmykov

Voronezh State University
English version PDF (213 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2005v196n01ABEH000872
Abstract: Coxeter transformations associated with deltoids (that is, graphs with the lengths of all simple cycles equal to 3) are considered. All irreducible objects in the set of all connected deltoids with spectrum containing -1 are described and a system of generating elements and operations is found. One formalization of the concept of “critical decay number” is discussed.
Received: 22.09.2003 and 21.04.2004
Bibliographic databases:
UDC: 512.543.14+512.643.5+512.817.73
MSC: Primary 05C50; Secondary 05C38
Language: English
Original paper language: Russian
Citation: V. A. Kolmykov, “The Coxeter transformation: deltoids, trefoils, and decay numbers”, Sb. Math., 196:1 (2005), 63–75
Citation in format AMSBIB
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\by V.~A.~Kolmykov
\paper The Coxeter transformation: deltoids, trefoils, and decay numbers
\jour Sb. Math.
\yr 2005
\vol 196
\issue 1
\pages 63--75
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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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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:505
    Russian version PDF:200
    English version PDF:13
    References:69
    First page:1
     
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