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    Sombor Spectral Radius

    Definition

    The Sombor spectral radius ρ_Sombor of a graph is defined as the largest eigenvalue of the Sombor matrix. Liu et al. (2022) shows that for any tree, ρ_Sombor<=sqrt(n^3 - 3n^2 + 4n - 2), with equality iff the tree is the star graph S_n .

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