creative_2019_28_1_41_47_001

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


Bharali, A. and Konch, Nijara


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creative_2019_28_1_41_47

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