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Unicyclic graphs with extremal exponential Randić index
Mathematical Modelling and Control 2021, 1(3): 164-171
Published: 15 September 2021
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Recently the exponential Randić index eχ was introduced. The exponential Randić index of a graph G is defined as the sum of the weights e1d(u)d(v) of all edges uv of G, where d(u) denotes the degree of a vertex u in G. In this paper, we give sharp lower and upper bounds on the exponential Randić index of unicyclic graphs.

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