Croatica Chemica Acta, Vol. 79 No. 3, 2006.
Original scientific paper
Omega Polynomial in Tubular Nanostructures
Mircea V. Diudea
Simona Cigher
Aniela E. Vizitiu
Oleg Ursu
Peter E. John
Abstract
A new counting polynomial, called the »Omega« Ω(G, x) polynomial, was recently proposed by Diudea on the ground of quasi-orthogonal cut »qoc« edge strips in a polycyclic graph. Within a qoc, not all cut edges are necessarily orthogonal, meaning not all are pairwise codistant. Two topological indices: CI (Cluj-Ilmenau), eventually equal to the well-known PI index, in planar, bipartite graphs, and IΩ are defined on the newly proposed polynomial and exemplified. Closed analytical formulas for Ω(G, x) and CI in polyhex tori and tubes are given.
Keywords
Omega polynomial; quasi-orthogonal cut, qoc; CI topological index; IΩ topological index
Hrčak ID:
5651
URI
Publication date:
12.11.2006.
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