General Atom-Bond-Connectivity Index Of Graphs

Abstract

The Atom-bond-connectivity index ABC of a graph G is determined by d_i and d_j. In this paper, sharp results for the general ABC index which has chemical applications are found using different methods. These new results for ABC inex are investigated in terms of its edges, its vertices and its degrees. In particular, some relations for general ABC index is obtained involving different topological indices; Randic index, Zagreb index, Harmonic index and Narumi-Katayama index. Indeed, general ABC index are improved by the help of the maximum annd minimum degrees.

Keywords

• Atom-Bond-Connectivity index
• Topological Indices
• Generalization

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