Omega Polynomial


Mircea V. Diudea


Abstract

carpathian_2006_22_043_047_abstract

Full PDF

carpathian_2006_22_043_047

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.

Additional Information

Author(s)

Diudea Mircea V.