Citation Cvetkovic D, Rowlinson P, Stanic Z & Yoon M (2011) Controllable graphs. Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques, 143 (36), pp. 81-88. http://www.emis.de/journals/BSANU/36/6.html
Abstract The eigenvalues of a graph are the eigenvalues of its adjacency matrix. An eigenvalue of a graph is called 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.
Keywords graph theory; control theory; graph spectra; main eigenvalues; controllability
Journal Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques: Volume 143, Issue 36