Geodesic
Spectral theory of Smith graphs
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 42 (2017) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Graphs whose spectrum belongs to the interval $[-2,2]$ are called Smith graphs. The structure of a Smith graph with a given spectrum depends on a system of Diofantine linear algebraic equations. We establish several properties of this system and show how it can be simplified and effectively applied. 
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Dragoš Cvetković. Spectral theory of Smith graphs. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 42 (2017) no. 1. http://geodesic.mathdoc.fr/item/BASS_2017_42_1_a2/