
doi: 10.4418/2021.76.1.14
handle: 11311/1183591
Summary: 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.
Distance in graphs, Chemical graph theory, harmonic number, Antiregular graph, Exact enumeration problems, generating functions, Vertex degrees, distance-based topological index, antiregular graph, Enumeration in graph theory, vertex degree-based topological index, vertexdegree-based topological index, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Graph polynomials, topological index
Distance in graphs, Chemical graph theory, harmonic number, Antiregular graph, Exact enumeration problems, generating functions, Vertex degrees, distance-based topological index, antiregular graph, Enumeration in graph theory, vertex degree-based topological index, vertexdegree-based topological index, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Graph polynomials, topological index
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