Harmonic Index of Bridge and Chain Graphs
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Keywords:
Harmonic Index, Bridge Graph, Chain GraphAbstract
The harmonic index $ H(G) $ of a graph $ G $ is defined as the sum of the weights $ \dfrac{2}{d(u)+d(v)} $ of all edges $ uv $ of $G$, where $d(u) $ denotes the degree of the vertex $u$ in $G$. In this work, we obtain harmonic index of bridge and chain graphs. Using these results, harmonic index of chemical graphs are computed.
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