Abstract

The extended adjacency matrix of a graph has been introduced to expand some beneficial molecular topological indices. In the present work, the spectra of certain classes of vertex or edge-transitive graphs are investigated. Also, we study some spectral properties of extended adjacency matrix. Besides, we study the spectral A e x -spread of a graph. In this way, we explore some new bounds for both the smallest and the largest eigenvalues. Finally, we persue the behaviour of A e x -energy of a graph.

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