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.

中文翻译：

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Omega 和一些化学结构的相关计数多项式

摘要 计数多项式是数学函数，其系数为属性分区的多重性，指数为相应分区的范围。在这项工作中，计算了四个计数多项式：omega、theta、sadhana 和 Padmakar-Ivan (PI) 多项式，苯环嵌入二维网络和正亚苯基的 P 型表面。此外，还提出了这些多项式对应指数的闭合公式。这些结果有助于更好地理解这些重要结构的拓扑结构。