This article is cited in 1 paper

The Coxeter transformation: deltoids, trefoils, and decay numbers

V. A. Kolmykov

Voronezh State University

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.

UDC: 512.543.14+512.643.5+512.817.73

MSC: Primary 05C50; Secondary 05C38

Received: 22.09.2003 and 21.04.2004

DOI: 10.4213/sm1261

 English version: Sbornik: Mathematics, 2005, 196:1, 63–75

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