On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks

Several degree-based topological indices have a vital role in the inspection of the chemical properties of various chemical networks. Hex-derived networks, made up of hexagonal mesh networks, have wide applications in the fields of technology, pharmacy and physical sciences. In this researc...

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Main Authors: Shikha Rai, Shibsankar Das
Format: Article
Language:English
Published: Alexandru Ioan Cuza University of Iasi 2023-12-01
Series:Scientific Annals of Computer Science
Online Access:https://www.info.uaic.ro/en/sacs_articles/on-nirmala-indices-of-some-hex-derived-networks-of-type-three-and-their-subdivision-networks/
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author Shikha Rai
Shibsankar Das
author_facet Shikha Rai
Shibsankar Das
author_sort Shikha Rai
collection DOAJ
description Several degree-based topological indices have a vital role in the inspection of the chemical properties of various chemical networks. Hex-derived networks, made up of hexagonal mesh networks, have wide applications in the fields of technology, pharmacy and physical sciences. In this research work, we focus on different hex-derived networks of the third type of dimension n and their subdivisions. The Nirmala indices (such as the Nirmala index, the first inverse Nirmala index and the second inverse Nirmala index) are newly introduced degree-based topological indices. Here, we compute the values of these Nirmala indices for the above networks under consideration by operating their standard mathematical formulas and the M-polynomial based method. In addition, we plot the Nirmala indices of the networks and their subdivisions in different dimensions for the purpose of comparative studies among them. The results acquired are helpful in demonstrating the structural properties of considered hex-derived networks and their subdivisions. Also, it may influence the researchers for comparative based studies of the structure and their subdivisions in the sense of the Nirmala indices.
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spelling doaj.art-250d98f06b47403a8a116ee8aebc9f552023-12-20T12:28:01ZengAlexandru Ioan Cuza University of IasiScientific Annals of Computer Science1843-81212248-26952023-12-01XXXIII219324210.7561/SACS.2023.2.193On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision NetworksShikha RaiShibsankar Das Several degree-based topological indices have a vital role in the inspection of the chemical properties of various chemical networks. Hex-derived networks, made up of hexagonal mesh networks, have wide applications in the fields of technology, pharmacy and physical sciences. In this research work, we focus on different hex-derived networks of the third type of dimension n and their subdivisions. The Nirmala indices (such as the Nirmala index, the first inverse Nirmala index and the second inverse Nirmala index) are newly introduced degree-based topological indices. Here, we compute the values of these Nirmala indices for the above networks under consideration by operating their standard mathematical formulas and the M-polynomial based method. In addition, we plot the Nirmala indices of the networks and their subdivisions in different dimensions for the purpose of comparative studies among them. The results acquired are helpful in demonstrating the structural properties of considered hex-derived networks and their subdivisions. Also, it may influence the researchers for comparative based studies of the structure and their subdivisions in the sense of the Nirmala indices.https://www.info.uaic.ro/en/sacs_articles/on-nirmala-indices-of-some-hex-derived-networks-of-type-three-and-their-subdivision-networks/
spellingShingle Shikha Rai
Shibsankar Das
On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks
Scientific Annals of Computer Science
title On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks
title_full On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks
title_fullStr On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks
title_full_unstemmed On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks
title_short On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks
title_sort on nirmala indices of some hex derived networks of type three and their subdivision networks
url https://www.info.uaic.ro/en/sacs_articles/on-nirmala-indices-of-some-hex-derived-networks-of-type-three-and-their-subdivision-networks/
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