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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
\Bibitem{Kol05}
\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
\mathnet{http://mi.mathnet.ru/eng/sm1261}
\crossref{https://doi.org/10.1070/SM2005v196n01ABEH000872}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141324}
\zmath{https://zbmath.org/?q=an:1071.05049}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229078800003}
\elib{https://elibrary.ru/item.asp?id=9135667}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-18944369971}
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  • https://www.mathnet.ru/eng/sm1261
  • https://doi.org/10.1070/SM2005v196n01ABEH000872
  • https://www.mathnet.ru/eng/sm/v196/i1/p67
    • This publication is cited in the following 1 articles:
    1. V. A. Kolmykov, “Coxeter transformations: Construction of deltoids”, Math. Notes, 79:5 (2006), 643–648  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    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:537
    Russian version PDF:206
    English version PDF:18
    References:80
    First page:1
     
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