Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXLIII, No. 36, pp. 81–88 (2011)
D. Cvetkovic, P. Rowlinson, Z. Stanic and M.-G. YoonMathematical Institute SANU, P.O. Box 367, 11000 Belgrade, Serbia
Institute of Computing Science and Mathematics, University of Stirling, Stirling FK9 4LA, Scotland, UK
Faculty of Mathematics, University of Belgrade, 11000 Belgrade, Serbia
Department of Precision Mechanical Engineering, Gangneung-Wonju National University, Gangnueng 120-702, Republic of Korea
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
Classification (MSC2000): 05C50, 93B05
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