Geodesic
Coxeter transformations: Construction of deltoids
Matematičeskie zametki, Tome 79 (2006) no. 5, pp. 694-699

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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. 
@article{MZM_2006_79_5_a5,
     author = {V. A. Kolmykov},
     title = {Coxeter transformations: {Construction} of deltoids},
     journal = {Matemati\v{c}eskie zametki},
     pages = {694--699},
     publisher = {mathdoc},
     volume = {79},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_5_a5/}
}
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V. A. Kolmykov. Coxeter transformations: Construction of deltoids. Matematičeskie zametki, Tome 79 (2006) no. 5, pp. 694-699. http://geodesic.mathdoc.fr/item/MZM_2006_79_5_a5/