Degree Based Topological Co-Indices of Graphs

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 computed some topological coindices like as First and Second zagreb co-index, First and Second multiplicative zagreb coindex, Forgotton topological coindex, Atom bond connectivity coindex, Geometric arithmetic coindex and general Randic coindex for ∝= 1,−1, ଵ ଶ ,−ଵ ଶ for some chemical and networking graphs like as David derived network; ??(2), Dominating david derived network; ???(2), Regular Triangular Silicate network of dimension n; ????(?), Triangular chain cactus; ??, Oraganosilicon dendrimer ?[?]; ? ≥ 1; 2, Para chain square cactus; ?? ,Ortho chain square cactus; ??, Tetrathiafulvalene dendrimers; ??2[?]. My thesis comprising of four chapters. In the first chapter we will define some fundamental definitions. In the 2nd chapter, we will find Co-indices for David derived network, dominating David derived network, Regular triangular silicate network of dimension ? and Oraganosilicon dendrimer ?[?] graphs. In the 3rd chapter, we will find Triangular chain cactus, Para chain square cactus, Ortho chain square cactus, Tetrathiafulvalene dendrimers. In the 4th chapter, we will present the conclusion of our thesis. In the last, we will present the refrences of our thesis.