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On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies

In graph theory, a topological index is a numerical value that is in good correlation with certain physical properties of a molecule. It serves as an indicator of how a chemical structure behaves. The Shannon’s entropy describes a comparable loss of data in information transmission networks. It has...

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Detalles Bibliográficos
Autores principales: Malik, Mehar Ali, Imran, Muhammad, Adeel, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10635532/
https://www.ncbi.nlm.nih.gov/pubmed/37943841
http://dx.doi.org/10.1371/journal.pone.0290047
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author Malik, Mehar Ali
Imran, Muhammad
Adeel, Muhammad
author_facet Malik, Mehar Ali
Imran, Muhammad
Adeel, Muhammad
author_sort Malik, Mehar Ali
collection PubMed
description In graph theory, a topological index is a numerical value that is in good correlation with certain physical properties of a molecule. It serves as an indicator of how a chemical structure behaves. The Shannon’s entropy describes a comparable loss of data in information transmission networks. It has found use in the field of information theory. Inspired by the concept of Shannon’s entropy, we have calculated some topological descriptors for fractal and Cayley-type dendrimer trees. We also find the entropy that is predicted by these indices.
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spelling pubmed-106355322023-11-10 On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies Malik, Mehar Ali Imran, Muhammad Adeel, Muhammad PLoS One Research Article In graph theory, a topological index is a numerical value that is in good correlation with certain physical properties of a molecule. It serves as an indicator of how a chemical structure behaves. The Shannon’s entropy describes a comparable loss of data in information transmission networks. It has found use in the field of information theory. Inspired by the concept of Shannon’s entropy, we have calculated some topological descriptors for fractal and Cayley-type dendrimer trees. We also find the entropy that is predicted by these indices. Public Library of Science 2023-11-09 /pmc/articles/PMC10635532/ /pubmed/37943841 http://dx.doi.org/10.1371/journal.pone.0290047 Text en © 2023 Malik et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Malik, Mehar Ali
Imran, Muhammad
Adeel, Muhammad
On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies
title On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies
title_full On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies
title_fullStr On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies
title_full_unstemmed On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies
title_short On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies
title_sort on distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10635532/
https://www.ncbi.nlm.nih.gov/pubmed/37943841
http://dx.doi.org/10.1371/journal.pone.0290047
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