Structural Properties Of Certain Molecular Graphs

Abstract

Abstract Let G=(V,E)beasimple connected graph. The sets of ver tices and edges of GaredenotedbyV =V(G)andE =E(G) respectively. In such a simple molecular graph, vertices rep resent atoms and edges represent bonds. In chemical graph theory, we have many invariant polynomials and topological indices for molecular graph. In this thesis we focus on the structure of molecular graph of Bakelite network. Morever the vertices having degrees (2,2),(2,3) and (3,3) gives the generalized form of count of edges in terms of m and n. The m in chemical structure represent the number of rows and n represent the number of column in Bakelite structure. In this thesis we compute the different indices such as Atom bond conecctivity ABC,Geometric arithmatic G(A), Zagreb, Hyper Zagreb, Augmented Zagreb, Randic index and Har monic indices of Bakelite network. Topological indices are real numerical parameter of a chemical structural networks and structural networks. These networks are characterize its topology and graph invariant. The topological indices like Randic, ABC, G(A), are used to diagnose the bioactiv ity of chemical compounds. Actually these topological in dices is designed by transforming a chemical structure into a numeric number. i