Abstract
A new counting polynomial, called "Omega" �( G, x), was recently proposed by Diudea. It is defined on the ground of quasi-orthogonal cut "qoc" edge strips. Three topological descriptors: (1) CI (Cluj-Ilmenau), eventually equal to the well-known PI index, in planar, bipartite graphs; (2) I� -defined on all the normal- ized derivatives of the above polynomial and (3) the coefficient of the first power term, called n p are exemplified and used in nanostructures (e.g., fullerenes, nano- tubes and tori) description. Good ability of these descriptors in predicting the heat of formation and strain energy in small fullerenes or the resonance energy in planar benz- enoids was found. Omega polynomial is useful in describing the topology of tubular nanostructures.
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