Topological Indices on Line Graph of Multi Web and Multi Jahangir Graph

Abstract

A topological index is a numeric measure from the molecular graph. Usage of topological indices in chemistry is remarkable. In a structure related graph, a real number that always remains constant is called a topological index. A great number of topological indices have been presented till date, several of them are being applied in different industries as means like pharmaceutical industry modal chemical industry etc. In this thesis, we will calculate the degree based topological indices so-called Randic index, atom bond connectivity (ABC) index, geometric arithmetic (GA) index, first and second Zagreb, third Zagreb, hyper Zagreb, Harmonic index, F-index, Redefined first, second and third Zagreb indices, Sum connectivity index for line graph of multi- Web graph (𝑊𝑛,𝑚) (Tn × Cm) where m ≥ 5 and n ≥ 2 and as well as line graph of multi- Jahangir graph (𝐽𝑛,𝑚) where n ≥ 4 m ≥ 3. We will also compute degree sum based topological indices ABC₄ index known as the fourth version of atom bond connectivity (ABC) index and GA₅ index which is the fifth class of geometric arithmetic (GA) index for these graphs