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Linear Algebra and its Applications
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Energy of line graphs

Authors: Gutman, Ivan; Robbiano M.; Andrade, Enide; Cardoso, Domingos; Medina, Luis; Rojo O.;

Energy of line graphs

Abstract

AbstractThe 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.

Countries
Portugal, Serbia
Keywords

Numerical Analysis, Energy, Algebra and Number Theory, Adjacency matrix, Line graph, Laplacian energy, Incidence matrix, Signless Laplacian energy, Signless Laplacian matrix, Discrete Mathematics and Combinatorics, Geometry and Topology, Laplacian matrix

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
50
Top 10%
Top 10%
Top 10%
Green
hybrid