Some topological properties of uniform subdivision of Sierpiński graphs

Sierpiński graphs are family of fractal nature graphs having applications in mathematics of Tower of Hanoi, topology, computer science, and many more diverse areas of science and technology. This family of graphs can be generated by taking certain number of copies of the same basic graph. A topologi...

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Autores principales:	Liu Jia-Bao, Siddiqui Hafiz Muhammad Afzal, Nadeem Muhammad Faisal, Binyamin Muhammad Ahsan
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/ad5bc937adf94d63831183d0455de2fb
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id	oai:doaj.org-article:ad5bc937adf94d63831183d0455de2fb
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spelling	oai:doaj.org-article:ad5bc937adf94d63831183d0455de2fb2021-12-05T14:10:55ZSome topological properties of uniform subdivision of Sierpiński graphs0792-12412191-021910.1515/mgmc-2021-0006https://doaj.org/article/ad5bc937adf94d63831183d0455de2fb2021-07-01T00:00:00Zhttps://doi.org/10.1515/mgmc-2021-0006https://doaj.org/toc/0792-1241https://doaj.org/toc/2191-0219Sierpiński graphs are family of fractal nature graphs having applications in mathematics of Tower of Hanoi, topology, computer science, and many more diverse areas of science and technology. This family of graphs can be generated by taking certain number of copies of the same basic graph. A topological index is the number which shows some basic properties of the chemical structures. This article deals with degree based topological indices of uniform subdivision of the generalized Sierpiński graphs S(n,G) and Sierpiński gasket Sn. The closed formulae for the computation of different kinds of Zagreb indices, multiple Zagreb indices, reduced Zagreb indices, augmented Zagreb indices, Narumi-Katayama index, forgotten index, and Zagreb polynomials have been presented for the family of graphs.Liu Jia-BaoSiddiqui Hafiz Muhammad AfzalNadeem Muhammad FaisalBinyamin Muhammad AhsanDe GruyterarticleChemistryQD1-999ENMain Group Metal Chemistry, Vol 44, Iss 1, Pp 218-227 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Chemistry QD1-999
spellingShingle	Chemistry QD1-999 Liu Jia-Bao Siddiqui Hafiz Muhammad Afzal Nadeem Muhammad Faisal Binyamin Muhammad Ahsan Some topological properties of uniform subdivision of Sierpiński graphs
description	Sierpiński graphs are family of fractal nature graphs having applications in mathematics of Tower of Hanoi, topology, computer science, and many more diverse areas of science and technology. This family of graphs can be generated by taking certain number of copies of the same basic graph. A topological index is the number which shows some basic properties of the chemical structures. This article deals with degree based topological indices of uniform subdivision of the generalized Sierpiński graphs S(n,G) and Sierpiński gasket Sn. The closed formulae for the computation of different kinds of Zagreb indices, multiple Zagreb indices, reduced Zagreb indices, augmented Zagreb indices, Narumi-Katayama index, forgotten index, and Zagreb polynomials have been presented for the family of graphs.
format	article
author	Liu Jia-Bao Siddiqui Hafiz Muhammad Afzal Nadeem Muhammad Faisal Binyamin Muhammad Ahsan
author_facet	Liu Jia-Bao Siddiqui Hafiz Muhammad Afzal Nadeem Muhammad Faisal Binyamin Muhammad Ahsan
author_sort	Liu Jia-Bao
title	Some topological properties of uniform subdivision of Sierpiński graphs
title_short	Some topological properties of uniform subdivision of Sierpiński graphs
title_full	Some topological properties of uniform subdivision of Sierpiński graphs
title_fullStr	Some topological properties of uniform subdivision of Sierpiński graphs
title_full_unstemmed	Some topological properties of uniform subdivision of Sierpiński graphs
title_sort	some topological properties of uniform subdivision of sierpiński graphs
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/ad5bc937adf94d63831183d0455de2fb
work_keys_str_mv	AT liujiabao sometopologicalpropertiesofuniformsubdivisionofsierpinskigraphs AT siddiquihafizmuhammadafzal sometopologicalpropertiesofuniformsubdivisionofsierpinskigraphs AT nadeemmuhammadfaisal sometopologicalpropertiesofuniformsubdivisionofsierpinskigraphs AT binyaminmuhammadahsan sometopologicalpropertiesofuniformsubdivisionofsierpinskigraphs
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Some topological properties of uniform subdivision of Sierpiński graphs

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