The ABC (atom-bond connectivity) matrix A_ABC of a simple graph is a weighted adjacency matrix with weight f(d_i, d_j) = sqrt((d_i + d_j - 2)/(d_i d_j)), where d_i are the vertex degrees of the graph. In other words, [A_ABC]_(i j) = {sqrt((d_i + d_j - 2)/(d_i d_j)) | for i, j adjacent 0 | otherwise auto right match . It was introduced by Estrada et al. (2017) to model the enthalpy of formation of alkanes .
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