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Energy of line graphs |
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| Authors: | Ivan Gutman María Robbiano |
| Institution: | a Faculty of Science, University of Kragujevac, P. O. Box 60, 34000 Kragujevac, Serbia b Departamento de Matemáticas, Universidad Católica del Norte, Avenida Angamos 0610 Antofagasta, Chile c Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal |
| Abstract: | The energy of a graph is equal to the sum of the absolute values of its eigenvalues. The energy of a matrix is equal to the sum of its singular values. We establish relations between the energy of the line graph of a graph G and the energies associated with the Laplacian and signless Laplacian matrices of G. |
| Keywords: | 05C50 15A48 |
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