On vertex PI index of certain triangular tessellation networks

The Wiener index, due to its many applications is considered to be one of very important distance-based index. But the Padmaker-Ivan (PI) index is kind of the only distance related index linked to parallelism of edges. The PI index like other distance related indices has great disseminating power. T...

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Autores principales:	Bokhary Syed Ahtsham Ul Haq, Adnan
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	pi index triangular tessellation hexagonal network 05c90 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/1ba9d1eb83fd44afaa816563c8f9e508
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id	oai:doaj.org-article:1ba9d1eb83fd44afaa816563c8f9e508
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spelling	oai:doaj.org-article:1ba9d1eb83fd44afaa816563c8f9e5082021-12-05T14:10:55ZOn vertex PI index of certain triangular tessellation networks0792-12412191-021910.1515/mgmc-2021-0020https://doaj.org/article/1ba9d1eb83fd44afaa816563c8f9e5082021-06-01T00:00:00Zhttps://doi.org/10.1515/mgmc-2021-0020https://doaj.org/toc/0792-1241https://doaj.org/toc/2191-0219The Wiener index, due to its many applications is considered to be one of very important distance-based index. But the Padmaker-Ivan (PI) index is kind of the only distance related index linked to parallelism of edges. The PI index like other distance related indices has great disseminating power. The index was firstly investigated by Khadikar et al. (2001), they have probed the chemical applications of the PI index. They proved that the proposed PI index correlates highly with the physicochemical properties and biological activities of a large number of diverse and complex chemical compounds and the Wiener and Szeged indices. Recently, the vertex Padmarkar-Ivan (PIv) index of a chemical graph G was introduced as the sum over all edges uv of a molecular graph G of the vertices of the graph that are not equidistant to the vertices u and v. In this paper, the vertex PIv index of certain triangular tessellation are computed by using graph-theoretic analysis, combinatorial computing, and edge-dividing technology.Bokhary Syed Ahtsham Ul HaqAdnanDe Gruyterarticlepi indextriangular tessellationhexagonal network05c90ChemistryQD1-999ENMain Group Metal Chemistry, Vol 44, Iss 1, Pp 203-212 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	pi index triangular tessellation hexagonal network 05c90 Chemistry QD1-999
spellingShingle	pi index triangular tessellation hexagonal network 05c90 Chemistry QD1-999 Bokhary Syed Ahtsham Ul Haq Adnan On vertex PI index of certain triangular tessellation networks
description	The Wiener index, due to its many applications is considered to be one of very important distance-based index. But the Padmaker-Ivan (PI) index is kind of the only distance related index linked to parallelism of edges. The PI index like other distance related indices has great disseminating power. The index was firstly investigated by Khadikar et al. (2001), they have probed the chemical applications of the PI index. They proved that the proposed PI index correlates highly with the physicochemical properties and biological activities of a large number of diverse and complex chemical compounds and the Wiener and Szeged indices. Recently, the vertex Padmarkar-Ivan (PIv) index of a chemical graph G was introduced as the sum over all edges uv of a molecular graph G of the vertices of the graph that are not equidistant to the vertices u and v. In this paper, the vertex PIv index of certain triangular tessellation are computed by using graph-theoretic analysis, combinatorial computing, and edge-dividing technology.
format	article
author	Bokhary Syed Ahtsham Ul Haq Adnan
author_facet	Bokhary Syed Ahtsham Ul Haq Adnan
author_sort	Bokhary Syed Ahtsham Ul Haq
title	On vertex PI index of certain triangular tessellation networks
title_short	On vertex PI index of certain triangular tessellation networks
title_full	On vertex PI index of certain triangular tessellation networks
title_fullStr	On vertex PI index of certain triangular tessellation networks
title_full_unstemmed	On vertex PI index of certain triangular tessellation networks
title_sort	on vertex pi index of certain triangular tessellation networks
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/1ba9d1eb83fd44afaa816563c8f9e508
work_keys_str_mv	AT bokharysyedahtshamulhaq onvertexpiindexofcertaintriangulartessellationnetworks AT adnan onvertexpiindexofcertaintriangulartessellationnetworks
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On vertex PI index of certain triangular tessellation networks

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