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Sbornik: Mathematics, 2000, Volume 191, Issue 10, Pages 1471–1476
DOI: https://doi.org/10.1070/sm2000v191n10ABEH000515 (Mi sm515) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Coxeter transformations and the number "$-1$"

V. A. Kolmykov

Voronezh State University
English version PDF (120 kB) Citations (5)
References:
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DOI: https://doi.org/10.1070/sm2000v191n10ABEH000515
Abstract: Coxeter transformations associated with trees are considered. The number "$-1$" plays an exceptional role with respect to the spectra of trees. The sets of all trees containing and not containing "$-1$" in the spectrum are studied. Their densities are determined, systems of generating elements and operations are found, and the properties of the edges of trees from these sets are studied.
Received: 12.07.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 10, Pages 51–56
DOI: https://doi.org/10.4213/sm515
Bibliographic databases:
UDC: 512.543.14+512.643.5+512.817.73
MSC: Primary 05C50; Secondary 05C05
Language: English
Original paper language: Russian
Citation: V. A. Kolmykov, “Coxeter transformations and the number "$-1$"”, Mat. Sb., 191:10 (2000), 51–56; Sb. Math., 191:10 (2000), 1471–1476
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v191/i10/p51
    • This publication is cited in the following 5 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
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    Russian version PDF:185
    English version PDF:8
    References:51
    First page:1
     
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