A graph property P(G), written as a sequence of numbers counting its local partitions, can be expressed
as a counting polynomial P(G,x) with the exponents of the indeterminate x showing the extent of partitions p(G),
υ p(G) = P(G) while the coefficients are related to the number of partitions occurrence. Definitions and properties
of Cluj CJ(G, x) and Omega Ω(G, x) polynomials and their relation with other topological descriptors are presented.
Analytical relations for calculating these polynomials and corresponding topological indices in some classes
of PAHs are derived. The ability of topological descriptors to predict various physico-chemical and biological
properties is reviewed. Omega polynomial applied to small fullerenes provided a single number descriptor useful in
predicting their energetic stability.
Keywords: PAH, fullerenes, cluj polynomial, omega polynomial, topological index, QSPR, QSAR, flavonoids.
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