EMIS ELibM Electronic Journals Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXLIV, No. 37, pp. 1–17 (2012)

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Comparative study of graph energies

I. Gutman

Faculty of Science, University of Kragujevac, P. O. Box 60, 34000 Kragujevac, Serbia

Abstract: The ordinary energy of the graph is defined as the sum of the absolute values of the eigenvalues of its adjacency matrix. In recent times analogous ˘energies÷ are being considered, based on the eigenvalues of a variety of other graph matrices. We briefly survey and comment this ˘energy deluge÷, and then show that some of the results obtained (one-by-one) for different graph energies, are special cases of a single general result, that is independent of any graphűtheoretical interpretation.

Keywords: energy (of graph), energies (of graphs), energy deluge, adjacency matrix, graph matrices

Classification (MSC2000): 05C50

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Electronic fulltext finalized on: 8 Apr 2013. This page was last modified: 9 Apr 2013.

© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
© 2013 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition