Abstract
Let G be a graph of order n. For i = 1,2,... , n, let di be the degree of the vertex vi of G. The Sombor matrix Aso of G is defined so that its (i, j)-entry is equal to ?d2i + d2j if the vertices vi and vj are adjacent, and 0 otherwise. The spectral radius ?1 and the energy Eso of Aso are examined. In particular, upper bounds on Eso are obtained, as well as Nordhaus-Gaddum-type results for ?1 and Eso.
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