Geodesic
Coxeter transformations and the number “$-1$”
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1471-1476 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. A. Kolmykov. Coxeter transformations and the number “$-1$”. Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1471-1476. http://geodesic.mathdoc.fr/item/SM_2000_191_10_a3/

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