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Hyper-Wiener index and Laplacian spectrum

机译:超维纳指数和拉普拉斯谱

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摘要

The hyper-Wiener index WWW of a chemical tree T is defined as the sum of the product n1 n2 n3, over all pairs υ,ν of vertices of T, where n1 and n2 are the number of vertices of T, lying on the two sides of the path which connects υ and ν, and n3 is the number of vertices lying between υ and ν. An expression enabling the calculation of WWW from the Laplacian eigenvalues of T has been deduced.
机译:化学树T的超维纳指数WWW定义为T顶点的所有对υ,ν的乘积n1 n2 n3的总和,其中n1和n2是T的顶点数,位于两个顶点上连接υ和ν的路径的两边,n3是υ和ν之间的顶点数。推导了能够根据T的拉普拉斯特征值计算WWW的表达式。

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