Computing and comparative analysis of topological invariants of Y‐junction carbon nanotubes

Abstract

Recent findings of diverse forms of carbon nanostructures have encouraged research on their applications in several areas. They are used as a structural material in electronic and optical devices, involving transistors, photodetectors, plastic, biological sensors, pharmaceutical and medicine, and drug delivery systems. Since the discovery of Y-shaped carbon nanotubes (CNTs) junctions, they have drawn interest for future electron devices, for example, three-terminal transistors, amplifiers, and switches. A topological index is a number that is used to study the physicochemical properties of chemical structures. In this paper, we are providing topological properties of CNT Y-junctions. The results obtained for different types of Y-junction graphs appeared with comparisons. According to the best of our knowledge and literature, this is the first report about topological indices on this class of CNT junctions.

Verification of Some Topological Indices of Y‐Junction Based Nanostructures by M‐Polynomials

“…From the above discussion, the topological indices, given in the [36], are found correct, and calculations are verified here with M-polynomials methodology.…”

“…M-polynomial is one of the techniques. By using eorems 2 to 4, we can verify the main results of topological indices given in the [36], for the structure of Y-type junction or J m (n, n). Similarly, for the results of the structure of Y-second type junction or I ′ J m (n, n), we can use the results of our main eorems 6 to 8 and use the values of x � y � 1.…”

Comparative Study of Y‐Junction Nanotubes with Vertex‐Edge Based Topological Descriptors

“…e Y-junctions investigated in this paper are formed by the covalent interconnection of three finite-length armchair single-walled nanotubes that intersect at a 120 °angle and are specified by the chiral vector (n, n). For detail study of structures, authors refer to [38][39][40][41]. A Y-junction graph is defined as follows:…”

On comparative analysis of graph entropies of symmetrical carbon nanotube Y-junctions

“…Carbon nanotube junctions and non-straight nanotubes can revolutionize how electronic devices and networks are designed and constructed, and they are anticipated to have a crucial impact on developing future-generation technologies. We refer the reader to see [1][2][3][4], for properties and applications of carbon nanotube junctions.…”