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Metric Dimension of Line Graphs of Bakelite and Subdivided Bakelite Network

Authors :
Muhammad Umer Farooq
Atiq ur Rehman
Tabarek Qasim Ibrahim
Muhammad Hussain
Ali Hasan Ali
Badr Rashwani
Source :
Discrete Dynamics in Nature and Society, Vol 2023 (2023)
Publication Year :
2023
Publisher :
Hindawi Limited, 2023.

Abstract

Graph theory is considered one of the major subjects, and it also plays a significant role in the digital world. It has numerous uses in computer science, robot navigation, and chemistry. Graph theory is employed in forming the structures of different chemical networks, locating robots on a network, and troubleshooting computer networks. Additionally, it finds applications in scheduling airplanes and studying diffusion mechanisms. The current work investigates the metric dimension of the line graphs of the Bakelite and subdivided Bakelite networks. The results prove that these families of graphs do not have a constant metric dimension. The invention of Bakelite was influential in the development of modern plastics, and it has various applications in fields such as jewelry, clocks, toys, kitchenware, electrical, and sports industries.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
1607887X
Volume :
2023
Database :
Directory of Open Access Journals
Journal :
Discrete Dynamics in Nature and Society
Publication Type :
Academic Journal
Accession number :
edsdoj.229e38b2445544bb8d69b21adab16524
Document Type :
article
Full Text :
https://doi.org/10.1155/2023/7656214