Open Access

ARTICLE

Entropies of the Y-Junction Type Nanostructures

Ricai Luo¹, Aisha Javed², Muhammad Azeem^3,*, Muhammad Kamran Jamil³, Hassan Raza⁴, Muhammad Yasir Ilyas⁵
1 School of Mathematics and Physics, Hechi University, Yizhou, 456300, China
2 Abdus Salam School of Mathematical Sciences, Government College University, Lahore, 54000, Pakistan
3 Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore, 54000, Pakistan
4 School of Mathematical Sciences, College of Science and Technology, Wenzhou-Kean University, Wenzhou, 325060, China
5 Department of Physics, COMSATS University Islamabad, Lahore, 54000, Pakistan
* Corresponding Author: Muhammad Azeem. Email:
(This article belongs to this Special Issue: Resolvability Parameters and their Applications)

Computer Modeling in Engineering & Sciences 2023, 135(3), 2665-2679. https://doi.org/10.32604/cmes.2023.023044

Received 07 April 2022; Accepted 20 May 2022; Issue published 23 November 2022

Abstract

Recent research on nanostructures has demonstrated their importance and application in a variety of fields. Nanostructures are used directly or indirectly in drug delivery systems, medicine and pharmaceuticals, biological sensors, photodetectors, transistors, optical and electronic devices, and so on. The discovery of carbon nanotubes with Y-shaped junctions is motivated by the development of future advanced electronic devices. Because of their interaction with Y-junctions, electronic switches, amplifiers, and three-terminal transistors are of particular interest. Entropy is a concept that determines the uncertainty of a system or network. Entropy concepts are also used in biology, chemistry, and applied mathematics. Based on the requirements, entropy in the form of a graph can be classified into several types. In 1955, graph-based entropy was introduced. One of the types of entropy is edge-weighted entropy. We examined the abstract form of Y-shaped junctions in this study. Some edge-weight-based entropy formulas for the generic view of Y-shaped junctions were created, and some edge-weighted and topological index-based concepts for Y-shaped junctions were discussed in the present paper.

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Keywords

Y-shaped junctions; three-terminal junctions; nanostuctures; entropy; carbon nanotube

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