毕业设计（论文）若干网络的拓扑指数及其应用.docVIP

摘 要 拓扑指数是分子结构数值化的一种方式，它通过对表征分子图的矩阵实施某种数字运算而获得。它是一种图的不变量，直接产生于分子结构，反映了化合物的结构特征。由于最早的是来自于化物质中，所以化学性质，提出了很多类型的拓扑指数，主要分为两种，基于距离的拓扑指数和基于度的拓扑指数 在第一章，介绍了拓扑指数的概念以及的目的现状 在第二章，网络的定义拓扑指数。 在第三章，网络的定义拓扑指数。 在第四章，enes网络的定义，五个拓扑指数。 在第五章，神经的，基于度拓扑指数，计算基于距离的拓扑指数等十二个拓扑指数。 Abstract The topological index is a way of numerically plotting the numerator, which is obtained by performing a numerical operation on the matrix that characterizes the molecular graph. It is an invariant of a graph that is directly derived from the molecular structure and reflects the structural characteristics of the compound. Since the earliest topological indices are derived from chemical substances, the use of specific topological indices in the study of the relationship between quantitative structure activity and quantitative structural properties is used to guess the biological characteristics of biological activity and chemical reactions in certain important networks , used to predict the biological activity of chemical substances and chemical properties. In0 recent decades, many scholars have proposed many types of topological indices, which are mainly divided into two kinds of distance-based topological indices and degree-based topological indices. In the first chapter, the concepts of several topological indices are introduced, and the purpose and status of the research are discussed. In the second chapter, we introduce the definition of Sierpinski network and calculate the six topological indices of the network, In the third chapter, the definition of Butterfly network is introduced, and the five topological indices of the network are calculated， In the fourth chapter, the definition of Benes network is introduced, and the five topological indices of the network are calculated. . In the fifth chapter, the definition of probabilistic neural network is proposed, which not only calculates the topological index based on degree, but also computes the topological index based on distance, and other twelve