Computing Degree Based Topological Indices Of HAC5

Abstract

Computing Degree Based Topological Indices of HAC5C7 and VC5C7 Nanotubes There are certain types of topological indices such as degree based topological indices, distance based topological indices and spectrum based topological indices, which are used by researchers in quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) to predict physico-chemical properties of chemical compounds. A large number of topological indices are based on vertex-degree of molecular graphs. The purpose of current study is the discussion of the line graphs of HAC5C7[p,q] and VC5C7[p,q] nanotubes constructed by joinig left right side and as well as constructed by joining upside down, and computing some vertex-degree based topological indices of the line graphs of these nanotubes. Graph theory is a very powerful tool of applied mathematics. It concerns with different fields of science and has wide applications. In the first chapter we give some basic introduction and some definitions of graph theory. In the second chapter we give brief description about vertex-degree based topological indices. In the third chapter of this dissertation, we discussed the line graphs of HAC5C7[p,q] nanotube constructed by joinig left right side and as well as constructed by joining upside down. We also computed some well known degree based topological indices of the line graphs of HAC5C7[p,q] nanotube. This dissertation also includes discussion of the line graph of VC5C7[p,q] nanotube constructed by joinig left right side and as well as constructed by joining upside down. We also computed some well known degree based topological indices of the line graphs of VC5C7[p,q] nanotube given in last chapter.