The Coxeter transformation: deltoids, trefoils, and decay numbers
Sbornik. Mathematics, Tome 196 (2005) no. 1, pp. 63-75

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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.
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V. A. Kolmykov. The Coxeter transformation: deltoids, trefoils, and decay numbers. Sbornik. Mathematics, Tome 196 (2005) no. 1, pp. 63-75. http://geodesic.mathdoc.fr/item/SM_2005_196_1_a2/