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某些化学网络的度量维数的计算边缘版本

Computing edge version of metric dimension of certain chemical networks.

作者信息

Farooq Muhammad Umer, Hussain Muhammad, Jan Ahmed Zubair, Mjaeed Afraz Hussain, Sediqma Mirwais, Amjad Ayesha

机构信息

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Punjab, 53710, Pakistan.

Department of Mechanical Engineering Wroclaw, University of Science and Technology, Wrocław , Poland.

出版信息

Sci Rep. 2024 May 26;14(1):12031. doi: 10.1038/s41598-024-62063-6.

Abstract

In the modern digital sphere, graph theory is a significant field of research that has a great deal of significance. It finds widespread application in computer science, robotic directions, and chemistry. Additionally, graph theory is used in robot network localization, computer network problems and the formation of various chemical structures for networks. Moreover, it finds uses in exploring diffusion mechanisms and scheduling aircraft as well. The present research project examines and concentrates on the edge version of metric dimension of the Concealed Non-Kekuléan Benzenoid Hydrocarbon, Polythiophene, Backbone DNA network and Bakelite networks. All the mentioned networks have constant edge metric dimension except Bakelite network, as demonstrated by the results. If we talk about the applications of these networks, Polythiophene are used to treat prion disorders. It is also capable of detecting metal ions. The concept of Bakelite, which finds applications in the jewelry, electrical, cookware, sports, and clock industries, had an impact on the invention of modern polymers. The functions of DNA include information encoding, replication, mutation, and recombination gene expression.

摘要

在现代数字领域,图论是一个具有重要意义的重要研究领域。它在计算机科学、机器人技术方向和化学领域有着广泛的应用。此外,图论还用于机器人网络定位、计算机网络问题以及各种网络化学结构的形成。此外,它还用于探索扩散机制和安排飞机调度。本研究项目考察并专注于隐蔽非凯库勒苯型烃、聚噻吩、主链DNA网络和酚醛树脂网络的度量维数的边版本。结果表明,除酚醛树脂网络外,所有上述网络都具有恒定的边度量维数。如果谈及这些网络的应用,聚噻吩用于治疗朊病毒疾病。它还能够检测金属离子。酚醛树脂的概念在珠宝、电气、炊具、体育和钟表行业有应用,对现代聚合物的发明产生了影响。DNA的功能包括信息编码、复制、突变和重组基因表达。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c0ca/11128451/069dcd1b865f/41598_2024_62063_Fig1_HTML.jpg

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