Omega Polynomial

A new counting polynomial, called the Omega Ω(G,x)Ω(G,x) polynomial, is proposed on the ground of quasi-orthogonal cut qoc edge strips in a bipartite lattice. Within a qoc not all cut edges are necessarily orthogonal, meaning not all are pairwise codistant. Two topological indices: CICI (Cluj-Ilmenau), eventually equal to the well-known PIPI index, in planar, bipartite graphs and IΩIΩ are defined on the newly proposed polynomial and exemplified. Closed analytical formulas for Ω(G,x)Ω(G,x) in polyhex tori are given.