Geodesic
Singular value inequality and graph energy change
The electronic journal of linear algebra, Tome 16 (2007), pp. 291-299.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The energy of a graph is the sum of the singular values of its adjacency matrix. A classic inequality for singular values of a matrix sum, including its equality case, is used to study how the energy of a graph changes when edges are removed. One sharp bound and one bound that is never sharp, for the change in graph energy when the edges of a nonsingular induced subgraph are removed, are established. A graph is nonsingular if its adjacency matrix is nonsingular.
Classification : 15A45, 05C50
Keywords: singular value inequality, graph energy 
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Day, Jane; So, Wasin. Singular value inequality and graph energy change. The electronic journal of linear algebra, Tome 16 (2007), pp. 291-299. http://geodesic.mathdoc.fr/item/ELA_2007__16__a13/