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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     title = {Spectral theory of {Smith} graphs},
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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/