On the Cluj-Ilmenau index of a family of Benzenoid systems

Abstract

Let G be a simple connected molecular graph, with the vertex set and edge set denoted by V(G) and E(G) respectively, in which the vertices correspond to the atoms while the edges to the bonds of a covalently bonded molecule. The “Omega” Ω(G, x) polynomial was defined by Diudea on the ground of quasi-orthogonal cut “qoc” edge strips. The Cluj-Ilmenau index CI(G) is defined on the above polynomial. In this study, we compute the Cluj-Ilmenau index of a family of Benzenoid Systems named: the Jagged-rectangle B_a,b (∀a,b∈N).

Subject Classification:

• 05C12
• 05C90

Keywords:

• Omega polynomial
• Cluj-Ilmenau index
• Benzenoid systems
• Jagged-rectangle B_a,b