{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T02:31:37Z","timestamp":1775874697711,"version":"3.50.1"},"reference-count":22,"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.2021.3050774","type":"journal-article","created":{"date-parts":[[2021,1,13]],"date-time":"2021-01-13T01:59:41Z","timestamp":1610503181000},"page":"9567-9571","source":"Crossref","is-referenced-by-count":20,"title":["Second Hyper-Zagreb Index of Titania Nanotubes and Their Applications"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9920-4892","authenticated-orcid":false,"given":"Abdu","family":"Alameri","sequence":"first","affiliation":[{"name":"Department of Biomedical Engineering, Faculty of Engineering, University of Science and Technology, Sana&#x2019;a, Yemen"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","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":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-015-0480-z"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsps.2016.04.012"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.18052\/www.scipress.com\/BMSA.20.36"},{"key":"ref14","first-page":"173","article-title":"Y-index of some graph operations","volume":"15","author":"alameri","year":"2020","journal-title":"Journal of Applied Engineering Research"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.molstruc.2020.128754"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1166\/jctn.2016.5742"},{"key":"ref17","first-page":"283","article-title":"Topological indices of the mk-graph","volume":"24","author":"ayache","year":"2017","journal-title":"J Assoc Arab Univ Basic Appl Sci"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.12988\/imf.2016.612"},{"key":"ref19","first-page":"1","article-title":"On hyper&#x2013;Zagreb index and coindex","volume":"42","author":"gutman","year":"2017","journal-title":"Bull (Acad&#x00E9;mie Serbe des Sci et des Arts Classe des Sci Math&#x00E9;matiques et Naturelles Sci Math&#x00E9;matiques)"},{"key":"ref4","first-page":"363","article-title":"On eccentric connectivity index of $TiO_{2}$\n nanotubes","volume":"63","author":"nadeem","year":"2016","journal-title":"Math Comput Chem"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.17344\/acsi.2015.1746"},{"key":"ref6","article-title":"Some distance and degree graph invariants and fullerene structures: Doctoral thesis","author":"vesna","year":"2013"},{"key":"ref5","first-page":"83","article-title":"The first Zagreb index 30 years after","volume":"50","author":"gutman","year":"2004","journal-title":"MATCH Commun Math Comput Chem"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.37418\/amsj.9.6.42"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2614(72)85099-1"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/1028031"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.2478\/s11534-010-0095-8"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.37418\/amsj.9.6.41"},{"key":"ref20","first-page":"30","article-title":"Some new upper bounds for the hyper-Zagreb index","volume":"1","author":"milovanovic","year":"2019","journal-title":"Discrete Math Lett"},{"key":"ref22","first-page":"54","article-title":"The hyper-Zagreb index and some Hamiltonian properties of graphs","volume":"1","author":"li","year":"2019","journal-title":"Discrete Math Lett"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.akcej.2019.03.022"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/9312710\/09319659.pdf?arnumber=9319659","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T20:04:43Z","timestamp":1662667483000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9319659\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":22,"URL":"https:\/\/doi.org\/10.1109\/access.2021.3050774","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}