Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph

A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between vari...

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Autores principales: Muhammad Asad Ali, Muhammad Shoaib Sardar, Imran Siddique, Dalal Alrowaili
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Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/bf419e272b1a4c9fbf6ba8b68acfc22b
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spelling oai:doaj.org-article:bf419e272b1a4c9fbf6ba8b68acfc22b2021-11-08T02:35:48ZVertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph2090-907110.1155/2021/7057412https://doaj.org/article/bf419e272b1a4c9fbf6ba8b68acfc22b2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7057412https://doaj.org/toc/2090-9071A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between various topological indices of some graphs derived by applying certain graph operations. Graph operations play an important role in many applications of graph theory because many big graphs can be obtained from small graphs. Here, we discuss two graph operations, i.e., double graph and strong double graph. In this article, we will compute the topological indices such as geometric arithmetic index GA, atom bond connectivity index ABC, forgotten index F, inverse sum indeg index ISI, general inverse sum indeg index ISIα,β, first multiplicative-Zagreb index PM1  and second multiplicative-Zagreb index PM2, fifth geometric arithmetic index GA5, fourth atom bond connectivity index ABC4 of double graph, and strong double graph of Dutch Windmill graph D3p.Muhammad Asad AliMuhammad Shoaib SardarImran SiddiqueDalal AlrowailiHindawi LimitedarticleChemistryQD1-999ENJournal of Chemistry, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Chemistry
QD1-999
spellingShingle Chemistry
QD1-999
Muhammad Asad Ali
Muhammad Shoaib Sardar
Imran Siddique
Dalal Alrowaili
Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
description A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between various topological indices of some graphs derived by applying certain graph operations. Graph operations play an important role in many applications of graph theory because many big graphs can be obtained from small graphs. Here, we discuss two graph operations, i.e., double graph and strong double graph. In this article, we will compute the topological indices such as geometric arithmetic index GA, atom bond connectivity index ABC, forgotten index F, inverse sum indeg index ISI, general inverse sum indeg index ISIα,β, first multiplicative-Zagreb index PM1  and second multiplicative-Zagreb index PM2, fifth geometric arithmetic index GA5, fourth atom bond connectivity index ABC4 of double graph, and strong double graph of Dutch Windmill graph D3p.
format article
author Muhammad Asad Ali
Muhammad Shoaib Sardar
Imran Siddique
Dalal Alrowaili
author_facet Muhammad Asad Ali
Muhammad Shoaib Sardar
Imran Siddique
Dalal Alrowaili
author_sort Muhammad Asad Ali
title Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
title_short Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
title_full Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
title_fullStr Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
title_full_unstemmed Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
title_sort vertex-based topological indices of double and strong double graph of dutch windmill graph
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/bf419e272b1a4c9fbf6ba8b68acfc22b
work_keys_str_mv AT muhammadasadali vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph
AT muhammadshoaibsardar vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph
AT imransiddique vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph
AT dalalalrowaili vertexbasedtopologicalindicesofdoubleandstrongdoublegraphofdutchwindmillgraph
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