Entropy measures of Y-junction based nanostructures

Recent research on nanostructures proved their importance and implementation in various areas. In drug delivery systems, medicine and pharmaceutical, biological sensors, photodetectors, transistors, optical and electronic devices, in all these topics nanostructures are implemented directly or indirectly. Future advanced electronic devices are a motivation for the discovery of carbon nanotubes made Y-shaped junc-tions. Electronic switches, amplifiers, and three-terminal transistors are of great interest due to their interaction with Y-junctions. The concept of entropy determines the uncertainty of a system or network. Concepts of entropy are also commonly used in biology, chemistry, and applied mathematics. Entropy in the form of a graph can be classified into several types based on the requirements. Graph-based entropy was introduced in 1955. Edge-weighted-based entropy is one of the types of entropy. In this study, we look closely at the abstract form of Y-shaped junctions. For the generic view of Y-shaped junctions, we developed some edge-weight-based entropy formulas. On Y-shaped junctions, we discussed some edge-weighted and topological index-based concepts.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams Uni-versity. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/ by-nc-nd/4.0/).