{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,27]],"date-time":"2025-08-27T15:57:10Z","timestamp":1756310230167,"version":"3.37.3"},"reference-count":60,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/access.2021.3051932","type":"journal-article","created":{"date-parts":[[2021,1,26]],"date-time":"2021-01-26T21:12:57Z","timestamp":1611695577000},"page":"15388-15403","source":"Crossref","is-referenced-by-count":3,"title":["Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6858-3244","authenticated-orcid":false,"given":"Maqsood","family":"Ahmad","sequence":"first","affiliation":[{"name":"Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7284-6908","authenticated-orcid":false,"given":"Muhammad","family":"Saeed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7241-8172","authenticated-orcid":false,"given":"Muhammad","family":"Javaid","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1021\/ie980682n"},{"key":"ref38","first-page":"93","article-title":"M-polynomial and degree-based topological indices","volume":"6","author":"deutsch","year":"2015","journal-title":"Iranian J Math Chem"},{"key":"ref33","first-page":"595","article-title":"Survey on geometric-arithmetic indices of graphs","volume":"65","author":"das","year":"2011","journal-title":"MATCH Commun Math Comput Chem"},{"key":"ref32","first-page":"127","article-title":"A survey on the Randi? index","volume":"59","author":"li","year":"2008","journal-title":"MATCH Commun Math Comput Chem"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"1369","DOI":"10.1007\/s10910-009-9520-x","article-title":"Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges","volume":"46","author":"vuki?evi?","year":"2009","journal-title":"J Math Chem"},{"key":"ref30","first-page":"690","article-title":"On atom bond connectivity index and its chemical applicability","volume":"51a","author":"gutman","year":"2012","journal-title":"Indian J Chem"},{"key":"ref37","first-page":"116","article-title":"Relation between phenylene and hexagonal squeeze using harmonic index","volume":"1","author":"ranjini","year":"2013","journal-title":"Int J Graph Theory"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-016-1016-9"},{"key":"ref35","first-page":"33","article-title":"Computing fifth geometric-arithmetic index for nanostar dendrimers","volume":"1","author":"graovac","year":"2011","journal-title":"J Math Nanosci"},{"key":"ref34","first-page":"1419","article-title":"Computing ABC4 index of nanostar dendrimers","volume":"4","author":"ghorbani","year":"2010","journal-title":"Optoelectron Adv Mater Rapid Commun"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1515\/chem-2019-0081"},{"key":"ref28","first-page":"849","article-title":"An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes","volume":"37a","author":"estrada","year":"1998","journal-title":"Indian J Chem"},{"key":"ref27","first-page":"59","article-title":"Generalized Zagreb index of graphs","volume":"56","author":"azari","year":"2011","journal-title":"Studia Univ Babes-Bolyai"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2008.08.074"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1834-7819.1993.tb03067.x"},{"journal-title":"Polymer Networks Principles of Their Formation Structure and Properties","year":"1998","author":"stepto","key":"ref1"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1021\/ja00856a001"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2013.06.010"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2010.02.002"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-009-9542-4"},{"key":"ref23","first-page":"225","article-title":"Graphs of extremal weights","volume":"50","author":"b\u00f6ll\u00f6b\u00e1s","year":"1998","journal-title":"Ars Combin"},{"key":"ref26","first-page":"195","article-title":"A unified approach to the extremal trees for different indices","volume":"54","author":"li","year":"2005","journal-title":"MATCH Commun Math Comput Chem"},{"key":"ref25","first-page":"213","article-title":"The hyper-Zagreb index of graph operations","volume":"4","author":"shirdel","year":"2013","journal-title":"Iranian J Math Chem"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1002\/minf.201500064"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1002\/minf.201900007"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1016\/j.joen.2009.10.023"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-2842.1999.00375.x"},{"key":"ref57","article-title":"Radical chain polymerization: Acrylic family","author":"odian","year":"1991","journal-title":"Principles of Polymerization"},{"key":"ref56","doi-asserted-by":"crossref","first-page":"64","DOI":"10.4103\/0972-4052.55246","article-title":"Evolution of denture base materials","volume":"9","author":"khindria","year":"2009","journal-title":"The Journal of Indian Prosthodontic Society"},{"key":"ref55","first-page":"47","article-title":"A history of dental polymers","volume":"8","author":"price","year":"1994","journal-title":"Australian Prosth J"},{"key":"ref54","doi-asserted-by":"crossref","DOI":"10.1002\/minf.201900039","article-title":"Edge distance-based topological indices of strength-weighted graphs and their application to coronoid systems, carbon nanocones and $SiO_{2}$ nanostructures","volume":"38","author":"arockiaraj","year":"2019","journal-title":"Mol Inf"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2018.03.016"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1002\/minf.201800116"},{"journal-title":"Topological Indices and Related Descriptors in QSAR and QSPR","year":"1999","author":"devillers","key":"ref10"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1021\/ci9900175"},{"key":"ref40","first-page":"1199","article-title":"The k-connectivity index of an infinite class of dendrimer nanostars","volume":"6","author":"wang","year":"2011","journal-title":"Digest Journal of Nanomaterials and Biostructures"},{"journal-title":"QSPR\/QSAR Studies by Molecular Descriptors","year":"2001","author":"diudea","key":"ref12"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1002\/9783527628766"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.2174\/1568005024605909"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2005.05.096"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.2174\/156802607780906771"},{"key":"ref17","first-page":"261","article-title":"Bond additive modeling 2. Mathematical properties of max-min rodeg index","volume":"83","author":"vuki?evi?","year":"2010","journal-title":"Croatica Chemica Acta"},{"key":"ref18","first-page":"243","article-title":"Bond additive modeling 1. Adriatic indices","volume":"83","author":"vuki?evi?","year":"2010","journal-title":"Croatica Chemica Acta"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2614(72)85099-1"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.cden.2007.03.005"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1067\/mpr.2002.123400"},{"key":"ref6","first-page":"66","article-title":"Polymethyl-methacrylate—A review","volume":"16","author":"kraft","year":"1977","journal-title":"J Foot Surg"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0011-8532(22)01065-5","article-title":"History of resins in dentistry","volume":"19","author":"peyton","year":"1975","journal-title":"Dental Clinics of North America"},{"article-title":"A comparison polymeric denture base materials","year":"2010","author":"young","key":"ref8"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"1399","DOI":"10.3928\/0147-7447-20021201-21","article-title":"The science of bone cement: A historical review","volume":"25","author":"dimaio","year":"2002","journal-title":"Orthopedics"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.06.019"},{"journal-title":"Molecular Connectivity in Chemistry and Drug Research","year":"1976","author":"hall","key":"ref9"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.21577\/0100-4042.20170257"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2831910"},{"key":"ref48","first-page":"5","article-title":"On Zagreb indices and coindices","volume":"74","author":"gutman","year":"2015","journal-title":"MATCH Commun Math Comput Chem"},{"key":"ref47","first-page":"217","article-title":"Multiplicative versions of first Zagreb index","volume":"68","author":"eliasi","year":"2012","journal-title":"MATCH Commun Math Comput Chem"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2874461"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1166\/qm.2016.1345"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2907667"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2904736"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/9312710\/09326295.pdf?arnumber=9326295","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,13]],"date-time":"2022-12-13T13:05:11Z","timestamp":1670936711000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9326295\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":60,"URL":"https:\/\/doi.org\/10.1109\/access.2021.3051932","relation":{},"ISSN":["2169-3536"],"issn-type":[{"type":"electronic","value":"2169-3536"}],"subject":[],"published":{"date-parts":[[2021]]}}}