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M-多项式与分子晶体结构的基于度的拓扑指数。

M-Polynomials and Degree-Based Topological Indices of the Crystallographic Structure of Molecules.

机构信息

School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China.

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan.

出版信息

Biomolecules. 2018 Oct 3;8(4):107. doi: 10.3390/biom8040107.

Abstract

Topological indices are numerical parameters used to study the physical and chemical properties of compounds. In quantitative structure⁻activity relationship QSARs, topological indices correlate the biological activity of compounds with their physical properties like boiling point, stability, melting point, distortion, and strain energy etc. In this paper, we determined the M-polynomials of the crystallographic structure of the molecules Cu₂O and TF₂ []. Then we derived closed formulas for some well-known topological indices using calculus. In the end, we used Maple 15 to plot surfaces associated with the topological indices of Cu₂O and TF₂ [].

摘要

拓扑指数是用于研究化合物物理和化学性质的数值参数。在定量结构-活性关系(QSAR)中,拓扑指数将化合物的生物活性与其物理性质(如沸点、稳定性、熔点、变形和应变能等)相关联。在本文中,我们确定了分子 Cu₂O 和 TF₂[]的晶体结构的 M-多项式。然后,我们使用微积分推导出了一些著名拓扑指数的封闭公式。最后,我们使用 Maple 15 绘制了与 Cu₂O 和 TF₂[]的拓扑指数相关的曲面。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a631/6316663/aefaba639b18/biomolecules-08-00107-g001.jpg

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