Abstract
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.
Graphical Abstract
Call for Papers in Thematic Issues
Catalytic C-H bond activation as a tool for functionalization of heterocycles
The major topic is the functionalization of heterocycles through catalyzed C-H bond activation. The strategies based on C-H activation not only provide straightforward formation of C-C or C-X bonds but, more importantly, allow for the avoidance of pre-functionalization of one or two of the cross-coupling partners. The beneficial impact of ...read more
Related Books
Advances in Organic Synthesis
The Synthetic Methods, Structures, and Properties of the Ca-C σ Bond Organocalcium Containing Compounds
Advances in Organic Synthesis
Chemistry of Bipyrazoles: Synthesis and Applications
Advances in Organic Synthesis
Advanced Nanocatalysis for Organic Synthesis and Electroanalysis
Advances in Organic Synthesis
Advances in Organic Synthesis
19
1