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The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs

Topological invariants are numerical parameters of graphs or hypergraphs that indicate its topology and are known as graph or hypergraph invariants. In this paper, topological indices of hypergraphs such as Wiener index, degree distance index and Gutman index are considered. A g-composite hypergraph...

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Detalles Bibliográficos
Autores principales: Ashraf, Sakina, Imran, Muhammad, Bokhary, Syed Ahtsham Ul Haq, Akhter, Shehnaz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9791358/
https://www.ncbi.nlm.nih.gov/pubmed/36578427
http://dx.doi.org/10.1016/j.heliyon.2022.e12382
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author Ashraf, Sakina
Imran, Muhammad
Bokhary, Syed Ahtsham Ul Haq
Akhter, Shehnaz
author_facet Ashraf, Sakina
Imran, Muhammad
Bokhary, Syed Ahtsham Ul Haq
Akhter, Shehnaz
author_sort Ashraf, Sakina
collection PubMed
description Topological invariants are numerical parameters of graphs or hypergraphs that indicate its topology and are known as graph or hypergraph invariants. In this paper, topological indices of hypergraphs such as Wiener index, degree distance index and Gutman index are considered. A g-composite hypergraphs is a hypergraphs that is obtained by the union of g hypergraphs with every hypergraph has exactly one vertex in common. In this article, results of above said indices for g-composite hypergraphs, where [Formula: see text] , are calculated. Further these results are used to find the Wiener index, degree distance index and Gutman index of sunflower hypergraphs and linear uniform hyper-paths.
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spelling pubmed-97913582022-12-27 The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs Ashraf, Sakina Imran, Muhammad Bokhary, Syed Ahtsham Ul Haq Akhter, Shehnaz Heliyon Research Article Topological invariants are numerical parameters of graphs or hypergraphs that indicate its topology and are known as graph or hypergraph invariants. In this paper, topological indices of hypergraphs such as Wiener index, degree distance index and Gutman index are considered. A g-composite hypergraphs is a hypergraphs that is obtained by the union of g hypergraphs with every hypergraph has exactly one vertex in common. In this article, results of above said indices for g-composite hypergraphs, where [Formula: see text] , are calculated. Further these results are used to find the Wiener index, degree distance index and Gutman index of sunflower hypergraphs and linear uniform hyper-paths. Elsevier 2022-12-12 /pmc/articles/PMC9791358/ /pubmed/36578427 http://dx.doi.org/10.1016/j.heliyon.2022.e12382 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Research Article
Ashraf, Sakina
Imran, Muhammad
Bokhary, Syed Ahtsham Ul Haq
Akhter, Shehnaz
The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs
title The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs
title_full The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs
title_fullStr The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs
title_full_unstemmed The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs
title_short The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs
title_sort wiener index, degree distance index and gutman index of composite hypergraphs and sunflower hypergraphs
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9791358/
https://www.ncbi.nlm.nih.gov/pubmed/36578427
http://dx.doi.org/10.1016/j.heliyon.2022.e12382
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