On Harmonic Index and Diameter of Graphs ()
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ABSTRACT
The harmonic index of a graph G is defined as , where d(u) denotes the degree of a vertex u in G. It has been found that the harmonic index correlates well with the Randi c' index and with the π-electronic energy of benzenoid hydrocarbons. In this work, we give several relations between the harmonic index and diameter of graphs.
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