Topological Indices For The Antiregular Graphs

We determine some classical distance-based and degree-based topological indices of the connected antiregular graphs (maximally irregular graphs). More precisely, we obtain explicitly the k-Wiener index, the hyper-Wiener index, the degree distance, the Gutman index, the first, second and third Zagreb index, the reduced first and second Zagreb index, the forgotten Zagreb index, the hyper-Zagreb index, the refined Zagreb index, the Bell index, the min-deg index, the max-deg index, the symmetric division index, the harmonic index, the inverse sum indeg index, the M-polynomial and the Zagreb polynomial.