Degree-based topological indices of hexagonal nanotubes

Vetrík, Tomáš

doi:10.1007/s12190-017-1136-x

Cited by 14 publications

(10 citation statements)

References 9 publications

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“…We give a general result for each metal trihalides, which are used to obtained any ve-degree topological descriptors. Vetrík [45] introduced a new method to calculate the topological indices and also in [46], we follow the same technique in this paper.…”

Section: Resultsmentioning

confidence: 99%

Computation of Vertex-Edge Degree Based Topological Descriptors for Metal Trihalides Network

2021

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In recent past 2D metal trihalides have evolved as useful gapless semiconductor due to their physical properties like low dimensional magnetism and thermo electric performance. Such highly appreciable physical properties of these material are because enormous natural properties like halfmetallicity, polarization, spin-orbit coupling impacts, layered structure and low cost. Layered formation of these materials provides an opportunity for the field of mathematical chemistry for identification of patterns and computation of mathematical properties. This article is dedicated to compute vertex-edgedegree based topological characterization of 2D trihalides. General mathematical expressions of several vertex-edge-degree based topological indices are presented in terms of research outcomes so they can be effectively used in future industrial projects.INDEX TERMS degree; topological descriptors; metal trihalides network.

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Section: Resultsmentioning

confidence: 99%

Computation of Vertex-Edge Degree Based Topological Descriptors for Metal Trihalides Network

2021

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“…We give exact values of the most well-known degree-based polynomials for optical transpose interconnection system O Pm . Vetrík [28] introduced a new method to calculate the topological indices and also in [29], we follow the same technique in this paper. Let us give a formula, which can be used to obtain any polynomial of indices based on degrees for optical transpose interconnection system O Pm .…”

Section: Results For Otis Swapped Network Op Mmentioning

confidence: 99%

Polynomials of Degree-Based Indices for Swapped Networks Modeled by Optical Transpose Interconnection System

et al. 2020

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The Optical Transpose Interconnection System (OTIS) has applications in parallel processing, distributed processing, routing, and networks. It is used for efficient usage of multiple parallel algorithms or parallel systems, with different global interconnections in a network as it is an optoelectronic (combination of light signals and electronics). In chemical graph theory, topological indices are used to study characteristics of the chemical structures or biological activities. Topological indices are sometimes studied with the assistance to their polynomial. In this article, polynomials of degree-based topological indices for OTIS and swapped networks have been studied. Results can be used to compute any degreebased topological polynomials for OTIS swapped network. INDEX TERMS Topological polynomials; degree-based index; optical transpose interconnection system.

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“…In general, they are classified into distance or degree-based topological indices along with these counting related indices of graphs have play a vital role in chemical characterization. Article [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] can give more deep insight as literature survey.…”

Section: Introductionmentioning

confidence: 99%

On Vertex-Edge-Degree Topological Descriptors for Certain Crystal Networks

Husain¹,

Abolaban²,

Ahmad³

et al. 2022

Computer Systems Science and Engineering

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Due to the combinatorial nature of graphs they are used easily in pure sciences and social sciences. The dynamical arrangement of vertices and their associated edges make them flexible (like liquid) to attain the shape of any physical structure or phenomenon easily. In the field of ICT they are used to reflect distributed component and communication among them. Mathematical chemistry is another interesting domain of applied mathematics that endeavors to display the structure of compounds that are formed in result of chemical reactions. This area attracts the researchers due to its applications in theoretical and organic chemistry. It also inspires the mathematicians due to involvement of mathematical structures. Regular or irregular bonding ability of molecules and their formation of chemical compounds can be analyzed using atomic valences (vertex degrees). Pictorial representation of these compounds helps in identifying their properties by computing different graph invariants that is really considered as an application of graph theory. This paper reflects the work on topological indices such as ev-degree Zagreb index, the first ve-degree Zagreb index, the first ve-degree Zagreb index, the second ve-degree Zagreb index, ve-degree Randic index, the ev-degree Randic index, the ve-degree atom-bond connectivity index, the ve-degree geometric-arithmetic index, the ve-degree harmonic index and the ve-degree sum-connectivity index for crystal structural networks namely, bismuth tri-iodide and lead chloride. In this article we have determine the exact values of ve-degree and ev-degree based topological descriptors for crystal networks.

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Degree-based topological indices of hexagonal nanotubes

Cited by 14 publications

References 9 publications

Computation of Vertex-Edge Degree Based Topological Descriptors for Metal Trihalides Network

Computation of Vertex-Edge Degree Based Topological Descriptors for Metal Trihalides Network

Polynomials of Degree-Based Indices for Swapped Networks Modeled by Optical Transpose Interconnection System

On Vertex-Edge-Degree Topological Descriptors for Certain Crystal Networks

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