Omega Polynomial in All R[8] Lattices

Document Type : Research Paper


“Babes-Bolyai” University, Cluj, Romania


Omega polynomial Ω(􀀃, 􀀅) is defined on opposite edge strips ops in a graph G = G(V,E). The first and second derivatives, in X = 1, of Omega polynomial provide the Cluj-Ilmenau CI index. Close formulas for calculating these topological descriptors in an infinite lattice consisting of all R[8] faces, related to the famous Dyck graph, is given.