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ON LAPLACIAN SPECTRA OF SOME CORONA PRODUCT GRAPHS AND APPLICATIONS

The corona operations on graphs have attracted many researchers because of its applications in various fields. Many variants of the corona operation are defined over the years and their spectral properties have also been studied. In this paper we consider the spectra of some of these corona graphs namely; weighted edge corona product graphs, subdivision double corona, Qgraph double corona and total double corona. In this note, we correct some of the results proposed in the literature and also derive expressions for the number of spanning trees and Kirchhoff index of the above mentioned graphs as applications.