Estimation and Prediction of Molecular Properties and Intermolecular Forces by Using the Useful Wiener Index

On the Wiener Index of Cartesian Product Graphs

乘积图生成树的Wiener数问题

Since 1947, when H. Wiener conceived the first molecular topological index, eventually named the" Wiener index", hundreds topological indices including the Randic index and its generalization have been considered in the mathematical and/ or chemical literature.

自从1947年H.Wiener提出第一个分子拓扑指数即Wiener指数以来，数百种分子拓扑指数，包括Randi（？）

The Wiener index is the sum of distances between all pairs of vertices in a ( connected) graph.

Wiener指数是连通图的点对的距离之和。

Of these, 46.4% and 53.6% were vascular and bryophyte epiphytic species, respectively. The Shannon Wiener index and Simpson index were 2.93 and 0.91 for vascular epiphytic species, and 3.31 and 0.95 for bryophyte epiphyte species, respectively.

附生维管束植物的Shannon Wiener指数和Simpson指数分别为2.93和0.91，附生苔藓植物分别为3.31和0.95。

The Wiener index is such a topological index and it has been widely used in Chemistry fields.

Wiener指数就是一个与化合物的物理化学性质密切相关的拓扑指数，它的性质广泛应用于化学领域中。

Phytoplankton Shannon Wiener diversity index varied between 0 97 and 2 75, with the maximum found in August.

多样性指数是：A>B>C；浮游植物香农-威纳多样性指数为0.97～2.75。

The Wiener index is widely used in the fields of chemistry and communication network and has been extensively studied since the middle of 1970s.Many new results are obtained.

Wiener指标在理论化学和通讯网络中有大量的应用。自二十世纪七十年代以来，Wiener指标已得到广泛的研究，并得到了许多新的结果。

The Shannon Wiener diversity index in mature phase was the largest, and it got higher with the increase of growth stage.

成熟期原生林Shannon Wiener多样性指数最高，呈现出随生长年代的增加而增大的趋势。

Based on the Wiener index ( W), a harmonic topological index ( H) is proposed. H has been shown good structure selectivity, and appears uniqueness for 149 alkanes from ethane to decane.

基于Wiener指数（W）建立调和拓扑指数（H），该指数对乙烷至癸烷的149种烷烃呈现惟一性表征。

In the forth chapter, we study the Wiener Index of peptoids.

在论文的第四章里，研究了类肽图的Wiener数。

Minimum Value of the Wiener Index for ( M, N)-graph

（M，N）-图类的Wiener指标的极小值问题

Number of individuals and species, diversity indices, Shannon Wiener diversity index, biomass and soil fertility of the main plant community types in Xiyang River Bend region were analysed.

分析了西阳湾地区主要植物群落类型的种类组成、空间结构、物种多样性、生物量及土壤特性。

The value of the Wiener Index for a class of linear phenylene molecular graph is calculated, and the linear recursive formulas is obtained, and then the exact expressions are gained by solving some difference equations of the recursions.

文章给出了一类一般线性聚亚苯基图hQ的Wiener拓扑指标的线性递推公式，通过求解差分方程而得到了它的Wiener拓扑指标的精确表达式。

Unicyclic Graphs with the Second Largest Wiener Index

具有次大Wiener指数的单圈图

In this thesis, we mainly study one of the topics in graph theory with applications: calculate the Wiener Index/ a number for a molecular graph in chemistry.

本论文主要研究了图论及其应用中的一个方面：图论在化学中的应用&计算化学中分子图的Wiener数。

Estimation and Prediction of Acentric Factor of Paraffins by Using Wiener Index

利用维纳指数估计和预测烷烃偏心因子

Based on data of plots, it was discussed about species richness, Simpson index, Shannon wiener index and Pielou index of the forest communities in Qingcheng mountain of Sichuan province.

以各个植被样地为对象，采用物种丰富度、Simpson指数、Shannon Wiener指数及Pielou指数，研究了青城前山森林植被的物种多样性。

In the second chapter, we mainly discuss some extremal properties of Wiener index and degree distance of polycyclic graphs.

第二部分主要讨论了极小圈没有公共边的多圈图的度距离和Wiener指数的一些性质。

This paper, using the number N of carbon atoms and Wiener index W, P as structural parameters, established a quantitative relationship formula between boiling points and its molecular structure of alkane isomers. The boiling points of 76 branched chain alkanes were calculated.

以碳原子数N和Wiener指数W，P为结构参数，建立了烷烃同分异构体的沸点与其分子结构间的定量关系式，用此式计算了76个支链烷烃的沸点。

First, we summed up the previous studies of the Wiener Index, and then highlight the latest developments in extreme optimal field.

首先总结了前人对维纳指数的研究情况，接着重点介绍了维纳指数与极限图方面的最新进展。