Reverse Degree Based Topological Indices of Graph Products

Abstract

Graph theory is playing a key role in applied and pure mathematics. The scope of graph theory is expanding day by day. In this thesis, we have evaluated some reverse degree based topological indices, namely, the reverse general Randic index for 𝛼 = 1, −1, 1 2 ,− 1 2 the reverse atom bond connectivity index, the reverse geometric arithmetic index, the reverse first and second Zagreb indices, the reverse first and second Zagreb co-indices, the reverse forgotten index, the reverse hyper Zagreb index, the reverse first and second multiple Zagreb indices, the reverse redefined first, second and third Zagreb indices for some reverse degree based topological indices for line graphs, Reverse Indices of various Products of graph. My thesis comprising of six chapters. In the first chapter we will define some fundamental definitions. In the 2nd chapter, we will find reverse degree based topological indices for various products of graphs. In the 3rd chapter, we will find reverse degree based topological indices for 𝐿(𝑀𝑂𝑁1(𝜒)). In the 4th chapter, reverse degree based topological indices for 𝐿(𝑀𝑂𝑁2(𝜒)). In the 5th chapter, we will present the conclusion of our thesis. In the 6th chapter, we will present the references of our thesis.