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Energy of line graphs

Authors :
Gutman, Ivan
Robbiano, María
Martins, Enide Andrade
Cardoso, Domingos M.
Medina, Luis
Rojo, Oscar
Source :
Linear Algebra & its Applications. Dec2010, Vol. 433 Issue 7, p1312-1323. 12p.
Publication Year :
2010

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
433
Issue :
7
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
53047122
Full Text :
https://doi.org/10.1016/j.laa.2010.05.009