Omega and the related counting polynomials of some chemical structures

Abstract

Counting polynomials are mathematical functions having as coefficients the multiplicity of property partition and as exponent the extent of the corresponding partition. In this work, four counting polynomials are computed: omega, theta, sadhana, and Padmakar–Ivan (PI) polynomials of benzene ring embedded in the P-type surface on 2-D network and n-phenylene. Moreover, the closed formulas of the corresponding indices of these polynomials are also proposed. These results could help to better understand the topology of these important structures.

Keywords

• omega-type polynomials
• benzene ring embedded in p-type surface
• n-phenylene