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Appl."],"published-print":{"date-parts":[[2022,2]]},"abstract":"<jats:p>Let [Formula: see text] be a simple undirected graph with vertex set [Formula: see text]. The arithmetic\u2013geometric matrix [Formula: see text] of a graph [Formula: see text] is defined so that its [Formula: see text]-entry is equal to [Formula: see text] if the vertices [Formula: see text] and [Formula: see text] are adjacent, and zero otherwise, where [Formula: see text] denotes the degree of vertex [Formula: see text] in [Formula: see text]. In this paper, some bounds on the arithmetic\u2013geometric spectral radius and arithmetic\u2013geometric energy are obtained, and the respective extremal graphs are characterized. Moreover, some bounds for the arithmetic\u2013geometric Estrada index involving arithmetic\u2013geometric energy of graphs are determined. 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