The First Geometry Of The Graph - The Study Of The Arithmetic Index

Topological indices of the topics are one of the most important and most widely used descriptors in chemical graph theory research.It has important application in the molecular structure of the chemical.In this paper,first of all,we give the first geometric-arithmetic index about the calculation method of line,total and subdivision graph;Second,we purse a point of view on the first geometric-arithmetic polarity index and describe the polarity index of line,total and subdivision graph.In the first chapter,introduces the historical of the first geometric-arithmetic index.And we have given some basic knowledge,relevant conclusions,and the main conclusions of this paper.In the second chapter,first of all,we give the first geometric-arithmetic index about the calculation method of line graph,total graph,subdivision graph;By simplifying the conditions on the first geometric-arithmetic index,the tight upper and lower bounds on the first geometric-arithmetic index of line,total and subdivision graphs are obtained,and the graphs which the first geometric-arithmetic index and satisfied these tight bounds are characterized.