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.

Topological Indices For The Antiregular Graphs

Munarini E.
2021-01-01

Abstract

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.
2021
Antiregular graph
distance-based topological index
harmonic number
topological index
vertexdegree-based topological index
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1183591
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