Comparative study of graph energies
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 37 (2012), p. 1
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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-byone) for different graph energies, are special cases of a single general result, that is independent of any graph–theoretical interpretation.
Classification :
05C50
Keywords: energy (of graph), energies (of graphs), energy deluge, adjacency matrix, graph matrices
Keywords: energy (of graph), energies (of graphs), energy deluge, adjacency matrix, graph matrices
@article{BASS_2012_37_a0,
author = {I. Gutman},
title = {Comparative study of graph energies},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {1 },
year = {2012},
volume = {37},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2012_37_a0/}
}
I. Gutman. Comparative study of graph energies. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 37 (2012), p. 1 . http://geodesic.mathdoc.fr/item/BASS_2012_37_a0/