Degree Base Topological Indices of Metallic Organic Compound

Abstract

A topological index describes the chemical information as numerical number. Topological index is a graph invarient and describe the topology of that graph. In development of QSARs(quantitative structure-activity relationships) topological indices are very useful. QSARs relates biological activity of a molecule with its chemical structure. QSAR are useful in toxicity prediction and in drug discovery. There are some types of topological indices like degree-based topological indicex, distance-based topological indicex, eigen value toplogical indicex and matching and mixed topological index. There are some famous toplogical indices like geometric-arithmetic index, Randić index which have many applications in chemistry and useful in pharmacology, ABC index(achivements of babies and children). In this thesis we discuss the metallic non-metallic behaviour of TM-TCNB graph. We compute topoligical indices ABC index, geometric arithmetic index and Randić index for variation of alpha. We also calculated sum connectivity index and symmetric division index for different results. In this thesis there are six chapters. In first chapter we will define some funddamental definitions. In 2nd chapter we will discuss different types of topological indices like Hosoya index, Winner index Estrada index etc. 3rd chapter is related to literature review of TCNB graph. In 4th chaper there is basic structure of TCNB and results of TCNB graph. Conlcusion and relevant refrences are given in 5th and 6th chapters respectively.