Hypergraphene from Armchair Nanotube Y Junctions

Nagy, Katalin; Nagy, Csaba L.

doi:10.1007/978-94-007-6371-5_11

Cited by 9 publications

(6 citation statements)

References 38 publications

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“…For the purposes of computation, the Y-junction structures are transformed into vertex-edge graphs, as described by Diudea et al [39,40]. After obtaining the molecular graphs of junctions and their variants, the vertex-degree-based edge types are measured.…”

Section: Y-junction Graphs and Methodology Of Presented Workmentioning

confidence: 99%

Entropies of the Y-Junction Type Nanostructures

Luo¹,

Javed²,

Azeem³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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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 edgeweighted 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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Section: Y-junction Graphs and Methodology Of Presented Workmentioning

confidence: 99%

Entropies of the Y-Junction Type Nanostructures

Luo¹,

Javed²,

Azeem³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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show abstract

“…For the aims of computation, the structures of the Yjunction are transformed in the vertex-edge graph, and for this, we follow the methodology presented in [34,35]. e vertex-degree-based edge types are measured after getting the molecular graphs of junctions and their variants.…”

Section: Y-junction Graphs and Methodology Of Presented Workmentioning

confidence: 99%

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

Azeem

Jamil

Javed

et al. 2022

Journal of Mathematics

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The concept of M-polynomials determines the algebraic form of a system or network. It creates a structure into an algebraic equation and makes work easy to do on such a structure. This has diverse uses in different applied mathematics and as well as in engineering fields. 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 vertex-degree-based M-polynomials formulas. On Y-shaped junctions, we discussed some topological index-based concepts as well and verified the results available in the literature.

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“…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:…”

Section: Y-junction Graphsmentioning

confidence: 99%

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

Ahmad

2022

Journal of Mathematics

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The current results of various forms of carbon nanostructures and its applications in different areas attract the researchers. In pharmaceutical, medicine, industry and electronic devices they used it by its graphical invariants. The detection of different types of carbon nanotubes junctions enhanced the attention and interest for forthcoming devices like transistors and amplifiers. A topological index plays a very important role in the study of physicochemical properties of biological and chemical structures. In this paper, we determine results of v e -degree topological indices for various type of carbon nanotubes Y -junctions and their comparisons. The particular indices called as The first v e -degree Zagreb β index, the second v e -degree Zagreb index, v e -degree Randic index, v e -degree atom-bond connectivity index, v e -degree geometric-arithmetic index, v e -degree harmonic index and v e -degree sum-connectivity index.

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Hypergraphene from Armchair Nanotube Y Junctions

Cited by 9 publications

References 38 publications

Entropies of the Y-Junction Type Nanostructures

Entropies of the Y-Junction Type Nanostructures

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

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

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