给定化学图的Kirchhoff代数指标问题研究  

Research on Kirchhoff Algebraic Index of Given Chemical Graph

作　　者：吉亚迪 耿显亚 JI Ya-di;GENG Xian-ya(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001

出　　处：《长春师范大学学报》2021年第8期6-12,共7页Journal of Changchun Normal University

基　　金：安徽省自然科学基金项目“超大规模集成电路物理设计中的相关图论问题研究”(2008085MA01)。

摘　　要：图的拓扑指标是一种图的不变量,反映了化合物的结构特征。图的拓扑指标对刻画化学分子图、建立分子结构与特征之间的关系有着重要作用,因而被广泛应用于物理化学领域中。图G是由n个正方形、n个六边形和n个正方形组成的线性化学分子图,本文根据拉普拉斯多项式分解定理和矩阵相关知识,确定G的Kirchhoff代数指数。The topological index of a graph is an invariant of a graph.It is based on the chemical molecular structure of the molecular diagram of the matrix characterization of some operations,reflecting the structural characteristics of compounds.Topological indexes of graphs play an important role in characterizing chemical molecular graphs and establishing the relationship between molecular structure and characteristics,so they are widely used in the field of physical chemistry.The graph G is a linear chemical molecular graph composed of squares,hexagons and squares.In this paper,the Kirchhoff algebraic index G of is determined according to Laplace polynomial decomposition theorem and matrix correlation knowledge.

关 键 词：Kirchhoff指数 线性六边形周期系统 拉普拉斯谱 

分 类 号：O157.6[理学—数学]