Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/12239
Title: Ky Fan theorem applied to Randić energy
Authors: Gutman, Ivan
Andrade, Enide
Robbiano M.
San Martin B.
Issue Date: 2014
Abstract: Let G be a simple undirected graph of order n with vertex set V(G)={ v1,v2,⋯,vn}. Let di be the degree of the vertex vi. The Randić matrix R=(ri,j) of G is the square matrix of order n whose (i,j)-entry is equal to 1/ didj if the vertices vi and vj are adjacent, and zero otherwise. The Randić energy is the sum of the absolute values of the eigenvalues of R. Let X, Y, and Z be matrices, such that X+Y=Z. Ky Fan established an inequality between the sum of singular values of X, Y, and Z. We apply this inequality to obtain bounds on Randić energy. We also present results pertaining to the energy of a symmetric partitioned matrix, as well as an application to the coalescence of graphs. © 2014 Elsevier Inc.
URI: https://scidar.kg.ac.rs/handle/123456789/12239
Type: article
DOI: 10.1016/j.laa.2014.06.051
ISSN: 0024-3795
SCOPUS: 2-s2.0-84904305466
Appears in Collections:Faculty of Science, Kragujevac

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