Coxeter transformations: Construction of deltoids

V. A. Kolmykov

Voronezh State University

Abstract: The Coxeter transformations associated with deltoids (i.e., with graphs in which all simple cycles have length 3) are considered. The structure of the set of all connected deltoids whose spectra do not contain $-1$ is described.

UDC: 512.543.14+512.643.5+512.817.73

Received: 10.11.2003
Revised: 12.06.2005

DOI: 10.4213/mzm2741

 English version: Mathematical Notes, 2006, 79:5, 643–648

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