Loading…

Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants

A branch of graph theory that makes use of a molecular graph is called chemical graph theory. Chemical graph theory is used to depict a chemical molecule. A graph is connected if there is an edge between every pair of vertices. A topological index is a numerical value related to the chemical structu...

Full description

Saved in:
Bibliographic Details
Published in:Molecules (Basel, Switzerland) Switzerland), 2023-01, Vol.28 (2), p.556
Main Authors: Chu, Zheng-Qing, Ali, Haidar, Ali, Didar Abdulkhaleq, Nadeem, Muhammad, Kirmani, Syed Ajaz K, Ali, Parvez
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c493t-85547a12746aa39e2deb91094c72a3dcd5be0ec6806011d5c2cde58f891de9133
cites cdi_FETCH-LOGICAL-c493t-85547a12746aa39e2deb91094c72a3dcd5be0ec6806011d5c2cde58f891de9133
container_end_page
container_issue 2
container_start_page 556
container_title Molecules (Basel, Switzerland)
container_volume 28
creator Chu, Zheng-Qing
Ali, Haidar
Ali, Didar Abdulkhaleq
Nadeem, Muhammad
Kirmani, Syed Ajaz K
Ali, Parvez
description A branch of graph theory that makes use of a molecular graph is called chemical graph theory. Chemical graph theory is used to depict a chemical molecule. A graph is connected if there is an edge between every pair of vertices. A topological index is a numerical value related to the chemical structure that claims to show a relationship between chemical structure and various physicochemical attributes, chemical reactivity, or, you could say, biological activity. In this article, we examined the topological properties of a planar octahedron network of dimensions and computed the total eccentricity, average eccentricity, Zagreb eccentricity, geometric arithmetic eccentricity, and atom bond connectivity eccentricity indices, which are used to determine the distance between the vertices of a planar octahedron network.
doi_str_mv 10.3390/molecules28020556
format article
fullrecord <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_bb038cd8d616421d90dfcfe0800a3e0c</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_bb038cd8d616421d90dfcfe0800a3e0c</doaj_id><sourcerecordid>2768246476</sourcerecordid><originalsourceid>FETCH-LOGICAL-c493t-85547a12746aa39e2deb91094c72a3dcd5be0ec6806011d5c2cde58f891de9133</originalsourceid><addsrcrecordid>eNplkU1P3DAQhqOqqFDaH9BLFakXLgvjjzj2pVK1ou1KIJC2PVsTewJZJfHWdlbi3zewFEE5zWj8zjOeeYviE4NTIQycDaEnN_WUuAYOVaXeFEdMclgIkObts_yweJ_SBoAzyap3xaFQqq4V40fFehmGLUbM3Y7KdZ78XRna8rrHEWN55TLeko9hLC_3o-biOsfJ5SlSueuwPHeOxhw7V67GHcYOx5w-FAct9ok-Psbj4vf381_Ln4uLqx-r5beLhZNG5IWuKlkj47VUiMIQ99QYBka6mqPwzlcNATmlQQFjvnLceap0qw3zZJgQx8Vqz_UBN3YbuwHjnQ3Y2YdCiDcWY-5cT7ZpQGjntVdMSc68Ad-6lkADoCBwM-vrnrWdmoH8w1LYv4C-fBm7W3sTdtZoxTRnM-DkERDDn4lStkOXHPXzJSlMyfJaaS6VrNUs_fKfdBOmOM6nulfVXAvFzKxie5WLIaVI7dNnGNh7--0r--eez8-3eOr457f4C1o1rro</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2767283619</pqid></control><display><type>article</type><title>Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants</title><source>Publicly Available Content Database</source><source>PubMed Central</source><creator>Chu, Zheng-Qing ; Ali, Haidar ; Ali, Didar Abdulkhaleq ; Nadeem, Muhammad ; Kirmani, Syed Ajaz K ; Ali, Parvez</creator><creatorcontrib>Chu, Zheng-Qing ; Ali, Haidar ; Ali, Didar Abdulkhaleq ; Nadeem, Muhammad ; Kirmani, Syed Ajaz K ; Ali, Parvez</creatorcontrib><description>A branch of graph theory that makes use of a molecular graph is called chemical graph theory. Chemical graph theory is used to depict a chemical molecule. A graph is connected if there is an edge between every pair of vertices. A topological index is a numerical value related to the chemical structure that claims to show a relationship between chemical structure and various physicochemical attributes, chemical reactivity, or, you could say, biological activity. In this article, we examined the topological properties of a planar octahedron network of dimensions and computed the total eccentricity, average eccentricity, Zagreb eccentricity, geometric arithmetic eccentricity, and atom bond connectivity eccentricity indices, which are used to determine the distance between the vertices of a planar octahedron network.</description><identifier>ISSN: 1420-3049</identifier><identifier>EISSN: 1420-3049</identifier><identifier>DOI: 10.3390/molecules28020556</identifier><identifier>PMID: 36677612</identifier><language>eng</language><publisher>Switzerland: MDPI AG</publisher><subject>Apexes ; atom bond connectivity eccentricity ABC5(G) ; average eccentricity avec(G) ; Biological activity ; Chemical reactions ; Chemistry ; Comparative studies ; Eccentricity ; eccentricity ξ(p) ; geometric arithmetic eccentricity GA4(G) ; Graph theory ; Molecular structure ; Topology ; total eccentricity ϑ(G) ; Zagreb eccentricity index ℵ(G)</subject><ispartof>Molecules (Basel, Switzerland), 2023-01, Vol.28 (2), p.556</ispartof><rights>2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2023 by the authors. 2023</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c493t-85547a12746aa39e2deb91094c72a3dcd5be0ec6806011d5c2cde58f891de9133</citedby><cites>FETCH-LOGICAL-c493t-85547a12746aa39e2deb91094c72a3dcd5be0ec6806011d5c2cde58f891de9133</cites><orcidid>0000-0002-9815-7158 ; 0000-0003-2714-762X ; 0000-0001-7363-4563</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2767283619/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2767283619?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,885,25753,27924,27925,37012,37013,44590,53791,53793,75126</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/36677612$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Chu, Zheng-Qing</creatorcontrib><creatorcontrib>Ali, Haidar</creatorcontrib><creatorcontrib>Ali, Didar Abdulkhaleq</creatorcontrib><creatorcontrib>Nadeem, Muhammad</creatorcontrib><creatorcontrib>Kirmani, Syed Ajaz K</creatorcontrib><creatorcontrib>Ali, Parvez</creatorcontrib><title>Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants</title><title>Molecules (Basel, Switzerland)</title><addtitle>Molecules</addtitle><description>A branch of graph theory that makes use of a molecular graph is called chemical graph theory. Chemical graph theory is used to depict a chemical molecule. A graph is connected if there is an edge between every pair of vertices. A topological index is a numerical value related to the chemical structure that claims to show a relationship between chemical structure and various physicochemical attributes, chemical reactivity, or, you could say, biological activity. In this article, we examined the topological properties of a planar octahedron network of dimensions and computed the total eccentricity, average eccentricity, Zagreb eccentricity, geometric arithmetic eccentricity, and atom bond connectivity eccentricity indices, which are used to determine the distance between the vertices of a planar octahedron network.</description><subject>Apexes</subject><subject>atom bond connectivity eccentricity ABC5(G)</subject><subject>average eccentricity avec(G)</subject><subject>Biological activity</subject><subject>Chemical reactions</subject><subject>Chemistry</subject><subject>Comparative studies</subject><subject>Eccentricity</subject><subject>eccentricity ξ(p)</subject><subject>geometric arithmetic eccentricity GA4(G)</subject><subject>Graph theory</subject><subject>Molecular structure</subject><subject>Topology</subject><subject>total eccentricity ϑ(G)</subject><subject>Zagreb eccentricity index ℵ(G)</subject><issn>1420-3049</issn><issn>1420-3049</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNplkU1P3DAQhqOqqFDaH9BLFakXLgvjjzj2pVK1ou1KIJC2PVsTewJZJfHWdlbi3zewFEE5zWj8zjOeeYviE4NTIQycDaEnN_WUuAYOVaXeFEdMclgIkObts_yweJ_SBoAzyap3xaFQqq4V40fFehmGLUbM3Y7KdZ78XRna8rrHEWN55TLeko9hLC_3o-biOsfJ5SlSueuwPHeOxhw7V67GHcYOx5w-FAct9ok-Psbj4vf381_Ln4uLqx-r5beLhZNG5IWuKlkj47VUiMIQ99QYBka6mqPwzlcNATmlQQFjvnLceap0qw3zZJgQx8Vqz_UBN3YbuwHjnQ3Y2YdCiDcWY-5cT7ZpQGjntVdMSc68Ad-6lkADoCBwM-vrnrWdmoH8w1LYv4C-fBm7W3sTdtZoxTRnM-DkERDDn4lStkOXHPXzJSlMyfJaaS6VrNUs_fKfdBOmOM6nulfVXAvFzKxie5WLIaVI7dNnGNh7--0r--eez8-3eOr457f4C1o1rro</recordid><startdate>20230105</startdate><enddate>20230105</enddate><creator>Chu, Zheng-Qing</creator><creator>Ali, Haidar</creator><creator>Ali, Didar Abdulkhaleq</creator><creator>Nadeem, Muhammad</creator><creator>Kirmani, Syed Ajaz K</creator><creator>Ali, Parvez</creator><general>MDPI AG</general><general>MDPI</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7X7</scope><scope>7XB</scope><scope>88E</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>K9.</scope><scope>M0S</scope><scope>M1P</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7X8</scope><scope>5PM</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-9815-7158</orcidid><orcidid>https://orcid.org/0000-0003-2714-762X</orcidid><orcidid>https://orcid.org/0000-0001-7363-4563</orcidid></search><sort><creationdate>20230105</creationdate><title>Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants</title><author>Chu, Zheng-Qing ; Ali, Haidar ; Ali, Didar Abdulkhaleq ; Nadeem, Muhammad ; Kirmani, Syed Ajaz K ; Ali, Parvez</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c493t-85547a12746aa39e2deb91094c72a3dcd5be0ec6806011d5c2cde58f891de9133</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Apexes</topic><topic>atom bond connectivity eccentricity ABC5(G)</topic><topic>average eccentricity avec(G)</topic><topic>Biological activity</topic><topic>Chemical reactions</topic><topic>Chemistry</topic><topic>Comparative studies</topic><topic>Eccentricity</topic><topic>eccentricity ξ(p)</topic><topic>geometric arithmetic eccentricity GA4(G)</topic><topic>Graph theory</topic><topic>Molecular structure</topic><topic>Topology</topic><topic>total eccentricity ϑ(G)</topic><topic>Zagreb eccentricity index ℵ(G)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chu, Zheng-Qing</creatorcontrib><creatorcontrib>Ali, Haidar</creatorcontrib><creatorcontrib>Ali, Didar Abdulkhaleq</creatorcontrib><creatorcontrib>Nadeem, Muhammad</creatorcontrib><creatorcontrib>Kirmani, Syed Ajaz K</creatorcontrib><creatorcontrib>Ali, Parvez</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Health &amp; Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Health &amp; Medical Complete (Alumni)</collection><collection>Health &amp; Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Molecules (Basel, Switzerland)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chu, Zheng-Qing</au><au>Ali, Haidar</au><au>Ali, Didar Abdulkhaleq</au><au>Nadeem, Muhammad</au><au>Kirmani, Syed Ajaz K</au><au>Ali, Parvez</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants</atitle><jtitle>Molecules (Basel, Switzerland)</jtitle><addtitle>Molecules</addtitle><date>2023-01-05</date><risdate>2023</risdate><volume>28</volume><issue>2</issue><spage>556</spage><pages>556-</pages><issn>1420-3049</issn><eissn>1420-3049</eissn><abstract>A branch of graph theory that makes use of a molecular graph is called chemical graph theory. Chemical graph theory is used to depict a chemical molecule. A graph is connected if there is an edge between every pair of vertices. A topological index is a numerical value related to the chemical structure that claims to show a relationship between chemical structure and various physicochemical attributes, chemical reactivity, or, you could say, biological activity. In this article, we examined the topological properties of a planar octahedron network of dimensions and computed the total eccentricity, average eccentricity, Zagreb eccentricity, geometric arithmetic eccentricity, and atom bond connectivity eccentricity indices, which are used to determine the distance between the vertices of a planar octahedron network.</abstract><cop>Switzerland</cop><pub>MDPI AG</pub><pmid>36677612</pmid><doi>10.3390/molecules28020556</doi><orcidid>https://orcid.org/0000-0002-9815-7158</orcidid><orcidid>https://orcid.org/0000-0003-2714-762X</orcidid><orcidid>https://orcid.org/0000-0001-7363-4563</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1420-3049
ispartof Molecules (Basel, Switzerland), 2023-01, Vol.28 (2), p.556
issn 1420-3049
1420-3049
language eng
recordid cdi_doaj_primary_oai_doaj_org_article_bb038cd8d616421d90dfcfe0800a3e0c
source Publicly Available Content Database; PubMed Central
subjects Apexes
atom bond connectivity eccentricity ABC5(G)
average eccentricity avec(G)
Biological activity
Chemical reactions
Chemistry
Comparative studies
Eccentricity
eccentricity ξ(p)
geometric arithmetic eccentricity GA4(G)
Graph theory
Molecular structure
Topology
total eccentricity ϑ(G)
Zagreb eccentricity index ℵ(G)
title Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T20%3A55%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_doaj_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Comparative%20Study%20of%20Planar%20Octahedron%20Molecular%20Structure%20via%20Eccentric%20Invariants&rft.jtitle=Molecules%20(Basel,%20Switzerland)&rft.au=Chu,%20Zheng-Qing&rft.date=2023-01-05&rft.volume=28&rft.issue=2&rft.spage=556&rft.pages=556-&rft.issn=1420-3049&rft.eissn=1420-3049&rft_id=info:doi/10.3390/molecules28020556&rft_dat=%3Cproquest_doaj_%3E2768246476%3C/proquest_doaj_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c493t-85547a12746aa39e2deb91094c72a3dcd5be0ec6806011d5c2cde58f891de9133%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2767283619&rft_id=info:pmid/36677612&rfr_iscdi=true