For a graph G with k cut edges and a real number say α, we consider the sum, denoted by Ra0(G){R_{alpha}^{0}(G)}, of the αth powers of the degrees of the vertices of G. This sum is also called the zeroth-order general Randić index of the (molecular) graph G. We present some sharp bounds on this sum according to α in different intervals.
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机译:对于具有k个切边且实数为α的图G,我们考虑以R a sub> 0 sup>(G){R_ {alpha} ^ {0 }(G)},是G顶点的度数的α次方。该和也被称为(分子)图G的零阶一般Randić指数。我们根据α给出该和的一些尖锐边界在不同的时间间隔。
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