Generalization of some results concerning eigenvalues of a certain class of matrices and some applications

2012/03/08 by Mourad, Bassam
#Combinatorics (math.CO) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1203.1769

Abstract

In this note, we present a generalization of some results concerning the spectral properties of a certain class of block matrices. As applications, we study some of its implications on nonnegative matrices, doubly stochastic matrices and graph theory namely on graph spectra and graph energy.

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