Abstract
Let G be a graph and d v denote the degree of the vertex v in G. The zeroth-order general Randic index of a graph is defined as R α 0 (G) = ∑ v∈V(G) d α where α is an arbitrary real number. In this paper, we obtained the lower and upper bounds for the zeroth-order general Randic index R α 0 (G) among all unicycle graphs G of order n. We give a clear picture for R α 0 (G) of unicycle graphs according to real number α in different intervals.
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