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Volume 10, Issue 3
  • ISSN: 2405-4615
  • E-ISSN: 2405-4623
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Abstract

Aims

Carbon nanocones possess exceptional properties compared to other nanomaterials, such as nanotubes, graphene, . 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 their entropy measures, are evaluated for the adjacently and non-adjacently configured pentagonal structure of carbon nanocones.

Background

Carbon nanoparticles are gaining much importance in the contemporary world. Carbon nanocones have a wide range of acceptance in the field of nanotechnology due to their effective properties and applications. Nanocones, also known as nanohorns, are carbon networks that are planar in structure and have the majority of hexagonal faces along with some non-hexagonal faces, which are most commonly pentagons. Nanocones that include pentagons in their structure can be referred to as adjacently or non-adjacently configured pentagonal structures of nanocones. Various topological descriptors for a few nanocone classes were derived by researchers earlier, but not for the class of nanocones in this paper. Through this work, we try to fill 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 quantitativestructure–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 characterize 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 their corresponding entropies were determined.

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 by applying the degree counting method and edge partition based on the vertices and edges. Also, a graphical comparative study was done with the help of the obtained results.

© 2025 Bentham Science Publishers
© 2025 The Author(s). Published by Bentham Science Publisher. This is an open access article published under CC BY 4.0 https://creativecommons.org/licenses/by/4.0/legalcode
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Graph Entropy for Adjacently and Non-Adjacently Configured Pentagonal Structure of Carbon Nanocones
Curr. Nanomater. 10, 354 (2025); https://doi.org/10.2174/0124054615278272231128072351
/content/journals/cnm/10.2174/0124054615278272231128072351
/content/journals/cnm/10.2174/0124054615278272231128072351
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  • Article Type:     Research Article
Keyword(s): adjacently and non-adjacently configured pentagonal structure of nanocone; carbon nanocone; carbon nanohorns; Degree-based descriptor; graph entropy measure; graphene

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