Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/10252
Title: Applications of a theorem by Ky Fan in the theory of graph energy
Authors: So W.
Robbiano M.
De Abreu N.
Gutman, Ivan
Issue Date: 2010
Abstract: The energy of a graph G is equal to the sum of the absolute values of the eigenvalues of G, which in turn is equal to the sum of the singular values of the adjacency matrix of G. Let X, Y, and Z be matrices, such that X + Y = Z. The Ky Fan theorem establishes an inequality between the sum of the singular values of Z and the sum of the sum of the singular values of X and Y. This theorem is applied in the theory of graph energy, resulting in several new inequalities, as well as new proofs of some earlier known inequalities. © 2009 Elsevier Inc. All rights reserved.
URI: https://scidar.kg.ac.rs/handle/123456789/10252
Type: article
DOI: 10.1016/j.laa.2009.01.006
ISSN: 0024-3795
SCOPUS: 2-s2.0-77049110119
Appears in Collections:Faculty of Science, Kragujevac

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