Geodesic
Spectral theory of Smith graphs
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 42 (2017) no. 1 
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/
@article{BASS_2017_42_1_a2,
     author = {Drago\v{s} Cvetkovi\'c},
     title = {Spectral theory of {Smith} graphs},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {19 - 40},
     year = {2017},
     volume = {42},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BASS_2017_42_1_a2/}
}
TY  - JOUR
AU  - Dragoš Cvetković
TI  - Spectral theory of Smith graphs
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2017
SP  - 19 
EP  -  40
VL  - 42
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/BASS_2017_42_1_a2/
ID  - BASS_2017_42_1_a2
ER  - 
%0 Journal Article
%A Dragoš Cvetković
%T Spectral theory of Smith graphs
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2017
%P 19 - 40
%V 42
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2017_42_1_a2/
%F BASS_2017_42_1_a2

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.