Some results on augmented Zagreb index of some trees and unicyclic graphs

Bharali, A. and Konch, Nijara

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The augmented Zagreb index (AZI) of a graph G is defined as

    \begin{equation*} AZI(G)=\sum_{uv\in E(G)} \left(\frac{d_ud_v}{d_u+d_v-2} \right)^3, \end{equation*}

where E(G) and d_u denote set of edges of G and degree of the vertex u in G respectively. In this paper we establish some general results and bounds of AZI for certain unicyclic graphs and their corresponding chemical representation. We also obtain some results pertaining to AZI of certain trees.

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Bharali, A., Konch, Nijara