Aα-spectrum of duplicate and corona operations in graphs

Author
Brondani, Andre Ebling

França, Francisca Andrea Macedo

Lima, Rayan G. O. J.

Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5765
10.22199/issn.0717-6279-5765
Abstract
Let G be a graph of order n, A(G) its adjacency matrix and D(G) the diagonal matrix of degrees of G. In 2017, for every α in [0; 1], Nikiforov defined the matrix Aα(G) = αD(G)+ (1-α)A(G). In this paper, we investigate the Aα-spectrum of graphs obtained from the duplicate and corona operations. As an application of our results, we provide conditions for the construction of some pairs of non isomorphic Aα-cospectral graphs.
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