Geodesic
Controllable graphs
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011) no. 1 
D. Cvetković; P. Rowlinson; Z. Stanić; M.-G. Yoon. Controllable graphs. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011) no. 1. http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a5/
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     title = {Controllable graphs},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {81 - 88},
     year = {2011},
     volume = {36},
     number = {1},
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}
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The eigenvalues of a graph are the eigenvalues of its adjacency matrix. An eigenvalue of a graph is called {\em main} if the corresponding eigenspace contains a vector for which the sum of coordinates is different from 0. Connected graphs in which all eigenvalues are mutually distinct and main have recently attracted attention in control theory.