ON THE STRUCTURE-DEPENDENCE OF THE LARGEST EIGENVALUE OF THE DISTANCE MATRIX OF AN ALKANE
ON THE STRUCTURE-DEPENDENCE OF THE LARGEST EIGENVALUE OF THE DISTANCE MATRIX OF AN ALKANE
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发表时间：
1998-07
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通讯作者：
I. Gutman;M. Medeleanu
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作者：
I. Gutman;M. Medeleanu
烷烃的距离矩阵具有唯一的正特征值1，其最近被用作拓扑指数，并用于相对于它们的支化对烷烃异构体进行排序和用于计算它们的沸点。我们现在已经确定了烷烃分子的主要结构特征。看情况了这些是分子图的顶点数（n）和所有顶点对之间距离的平方和（S）。I之间良好的线性相关性。并且（nsJln）被示出为存在。I\的上下界。都只依赖于n和S。因为S = 2 WW W，所以A、Wiener指标（W）和超Wiener指标（WW）之间存在联系。
The distance matrix of an alkane has a unique positive eigenvalue 1\., which has recently been applied as a topological index and used for ordering alkane isomers with respect to their branching and for calculating their boiling points. We have now determined the main structural features ofthe alkane molecule, on which I\. depends. These are the number of vertices of the molecular graph (n) and the sum of the squares of the distances between all pairs of vertices (S). A good linear correlation between I\. and (nSJln is shown to exist. Lower and upper bounds of I\. are deduced, both depending solely on n and S. Because S = 2 WW W, there exists a connection between A, the Wiener index (W) and the hyperWiener index (WW).