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This article is cited in 5 scientific papers (total in 5 papers)
Coxeter transformations and the number "$-1$"
V. A. Kolmykov Voronezh State University
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
Citation:
V. A. Kolmykov, “Coxeter transformations and the number "$-1$"”, Mat. Sb., 191:10 (2000), 51–56; Sb. Math., 191:10 (2000), 1471–1476
Linking options:
https://www.mathnet.ru/eng/sm515https://doi.org/10.1070/sm2000v191n10ABEH000515 https://www.mathnet.ru/eng/sm/v191/i10/p51
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Abstract page: | 406 | Russian version PDF: | 185 | English version PDF: | 8 | References: | 51 | First page: | 1 |
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