Applications of a theorem by Ky Fan in the theory of graph energy

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DC Field	Value	Language
dc.contributor.author	So W.	-
dc.contributor.author	Robbiano M.	-
dc.contributor.author	De Abreu N.	-
dc.contributor.author	Gutman, Ivan	-
dc.date.accessioned	2021-04-20T15:15:59Z	-
dc.date.available	2021-04-20T15:15:59Z	-
dc.date.issued	2010	-
dc.identifier.issn	0024-3795	-
dc.identifier.uri	https://scidar.kg.ac.rs/handle/123456789/10252	-
dc.description.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.	-
dc.rights	restrictedAccess	-
dc.source	Linear Algebra and Its Applications	-
dc.title	Applications of a theorem by Ky Fan in the theory of graph energy	-
dc.type	article	-
dc.identifier.doi	10.1016/j.laa.2009.01.006	-
dc.identifier.scopus	2-s2.0-77049110119	-
Appears in Collections:	Faculty of Science, Kragujevac

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