The saturation number of carbon nanocones and nanotubes

Short, Taylor

doi:10.48550/arxiv.1807.11355

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…Various topological descriptors for single k-gonal nanocone CN C k (l) were previously studied by researchers [5,16,20,23]. The saturation number of adjacently and nonadjacently configured pentagonal structure of nanocones were studied recently [32]. Also eccentricity based topological descriptors of carbon nanocones with two pentagons and three pentagons in the nanocone cap were studied [40].…”

Section: Introductionmentioning

confidence: 99%

Graph Entropy for Adjacently and Non-Adjacently Configured Pentagonal Structure of Carbon Nanocones

Alsinai,

Xavier,

Baby

et al. 2024

CNM

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aims: Carbon nanocones possess exceptional properties compared to other nanomaterials, such as nanotubes, graphene etc. Hence they can be used as an alternative to other nanostructures. This work helps in determining various properties of the nanocone structure through topological descriptors. In this paper, various degree based topological descriptors along with its entropy measures are evaluated for adjacently and non-adjacently configured pentagonal structure of carbon nanocones. background: Carbon nanoparticles are gaining much importance in the contemporary world. Among which carbon nanocones have wide range of acceptance in the field of nanotechnology due to its effective properties and applications. Nanocones, also known as nanohorns are carbon networks which are planar in structure and has majority of hexagonal faces along with some nonhexagonal faces, which are most commonly pentagons. Nanocones which include pentagons in their structure can be referred to as adjacently or non- adjacently configured pentagonal structure of nanocones. Various topological descriptors for few nanocone classes were derived by researchers earlier, but not for the class of nanocones in this paper. Through this work, we try to vanish the research gap in this field. objective: : The degree based descriptors and corresponding graph entropies for the adjacently and non-adjacently configured pentagonal structure of nanocones were determined, which further can be applied in quantitative structure – activity – property relationship studies. The concept of graph entropy is to assign a probability function to the edges in the chemical graph using the topological descriptor and it helps to characterise the complexity of graphs. method: We have employed the degree counting method and edge partition based on the vertices and edges of the adjacently and non-adjacently configured pentagonal nanocone structures to obtain the edge partitions and then using the corresponding mathematical expression, the degree based descriptors and its corresponding entropies were determined. result: Result: The analytically closed formulas to compute the degree based topological descriptors and graph entropies for any generation of the class of nanocone structures were obtained. conclusion: In this work, the degree based descriptors and the corresponding graph entropies for the adjacently and non-adjacently configured pentagonal structure of carbon nanocones are determined applying the degree counting method and edge partition based on the vertices and edges. Also a graphical comparative study was also done with the help of obtained results. other: end.

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Section: Introductionmentioning

confidence: 99%

Graph Entropy for Adjacently and Non-Adjacently Configured Pentagonal Structure of Carbon Nanocones

Alsinai,

Xavier,

Baby

et al. 2024

CNM

View full text Add to dashboard Cite

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Graph Entropy for Adjacently and Non-Adjacently Configured Pentagonal Structure of Carbon Nanocones

Xavier

Baby

Varghese

et al. 2023

Preprint

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Carbon nanoparticles are gaining much importance in the contemporary world. Among which carbon nanocones have wide range of acceptance in the field of nanotechnology due to its effective properties and applications. Nanocones, also known as nanohorns are carbon networks which are planar in structure and has majority of hexagonal faces along with some non-hexagonal faces, which are most commonly pentagons. Nanocones which include pentagons in their structure can be referred to as adjacently or non-adjacently configured pentagonal structure of nanocones. Carbon nanocones possess properties like specific surface area, high yield, high chemical stability, high purity, low toxicities, exceptional catalytic properties, superior porosity, and good conductivity compared to other carbon nanostructures. These exceptional properties help nanocones to be a good replacement for carbon nanotube. Also nanocones have secured its place in fields like electrochemical sensing or biosensing, biofuel cell, as an electrode material, supercapacitor, gas storage device and biomedical applications. The information entropy was introduced to analyse and quantify the complexity of data and information transmission. It is applied to study the complexity and the quantum chemical electron densities of molecular structures. Later, the idea of graph entropy came into role to characterise the complexity of graphs. The concept of graph entropy is to assign a probablity function to the edges in the chemical graph using the topological descriptor. In this work, the degree based descriptors and the corresponding graph entropies for the adjacently and non-adjacently configured pentagonal structure of nanocones are determined.

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The saturation number of carbon nanocones and nanotubes

Cited by 2 publications

References 18 publications

Graph Entropy for Adjacently and Non-Adjacently Configured Pentagonal Structure of Carbon Nanocones

Graph Entropy for Adjacently and Non-Adjacently Configured Pentagonal Structure of Carbon Nanocones

Graph Entropy for Adjacently and Non-Adjacently Configured Pentagonal Structure of Carbon Nanocones

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