The Sombor matrix A_Sombor of a simple graph is a weighted adjacency matrix with weight f(d_i, d_j) = sqrt(d_i^2 + d_j^2), where d_i are the vertex degrees of the graph. In other words, [A_Sombor]_(i j) = {sqrt(d_i^2 + d_j^2) | for i, j adjacent 0 | otherwise auto right match .

adjacency matrix | sombor energy | sombor index | sombor spectral radius | weighted adjacency matrix