Journal of Applied Physical Science International

GEOMETRIC-ARITHMETIC INDEX GA2 OF CIRCUMCORONENE SERIES OF BENZENOID Hk

MOHAMMAD REZA FARAHANI *

Department of Applied Mathematics of Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran.

*Author to whom correspondence should be addressed.

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Abstract

Let G be a simple connected graph. If e=uv is an edge of G and n_u(e) is the number of vertices closer to u than v and n_v(e) is the number of vertices closer to v than u, then the second geometric-arithmetic index (GA₂) of G are defined as GA₂(G)=  In this paper GA₂ index of Circumcoronene series of benzenoid H_k (k≥1), are computed for the first time by using Cut Method and its Orthogonal Cuts.

Keywords: Molecular graphs, topological index, geometric-arithmetic index, cut method, orthogonal cut, circumcoronene series of benzenoid

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