苯并图系列的某些多项式和相关拓扑指标。

Certain polynomials and related topological indices for the series of benzenoid graphs.

机构信息

Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan.

Department of Mathematics, King Saud University, Riyadh, 11451, Saudi Arabia.

出版信息

Sci Rep. 2019 Jun 24;9(1):9129. doi: 10.1038/s41598-019-45721-y.

DOI:10.1038/s41598-019-45721-y

PMID:31235871

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6591335/

Abstract

A topological index of a molecular structure is a numerical quantity that differentiates between a base molecular structure and its branching pattern and helps in understanding the physical, chemical and biological properties of molecular structures. In this article, we quantify four counting polynomials and their related topological indices for the series of a concealed non-Kekulean benzenoid graph. Moreover, we device a new method to calculate the PI and Sd indices with the help of Theta and Omega polynomials.

摘要

分子结构的拓扑指数是一种数值量，可区分基本分子结构与其分支模式，并有助于理解分子结构的物理、化学和生物学性质。在本文中，我们对一系列隐藏的非苯醌苯并图形的四个计数多项式及其相关拓扑指数进行了量化。此外，我们还设计了一种新方法，借助 Theta 和 Omega 多项式来计算 PI 和 Sd 指数。