Some Researches On Topological Indicators Of Bethe And Dendrimer Trees

Due to the special structure of Bethe and Dendrimer trees,which are widely used in chemical and biological medicine,the research on the properties of these two kinds of trees is becoming increasingly popular.This thesis mainly studies some topological properties of these two types of trees and includes the following main contents:In part 1,we mainly study the characteristic polynomial and energy problem of Dendrimer tree.In part 2,we study the matching counting problem of two kinds of trees.In part 3,we obtain two kinds of silicate molecular graphs by replacing each edge of these two trees with a complete graph with four vertices.This part mainly solves the matching counting problem of these two kinds of silicate molecular graphs.