{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T22:23:34Z","timestamp":1766269414230,"version":"3.41.2"},"reference-count":30,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,10,22]],"date-time":"2021-10-22T00:00:00Z","timestamp":1634860800000},"content-version":"vor","delay-in-days":294,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004686","name":"Deanship of Scientific Research, King Faisal University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004686","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006013","name":"United Arab Emirates University","doi-asserted-by":"publisher","award":["G00003271","G00003461"],"award-info":[{"award-number":["G00003271","G00003461"]}],"id":[{"id":"10.13039\/501100006013","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>The study of networks and graphs through structural properties is a massive area of research with developing significance. One of the methods used in studying structural properties is obtaining quantitative measures that encode structural data of the whole network by the real number. A large collection of numerical descriptors and associated graphs have been used to examine the whole structure of networks. In these analyses, degree\u2010related topological indices have a significant position in theoretical chemistry and nanotechnology. Thus, the computation of degree\u2010related indices is one of the successful topics of research. The general sum\u2010connectivity (GSC) index of graph  is described as , where  presents the degree of the vertex  in  and <jats:italic>\u03c1<\/jats:italic> is a real number. The total graph  is a graph whose vertex set is , and two vertices are linked in  if and only if they are either adjacent or incident in . In this article, we study the general sum\u2010connectivity index  of total graphs for different values of <jats:italic>\u03c1<\/jats:italic> by using Jensen\u2019s inequality.<\/jats:p>","DOI":"10.1155\/2021\/6616056","type":"journal-article","created":{"date-parts":[[2021,10,23]],"date-time":"2021-10-23T00:20:53Z","timestamp":1634948453000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Properties of Total Transformation Graphs for General Sum\u2010Connectivity Index"],"prefix":"10.1155","volume":"2021","author":[{"given":"Anam","family":"Rani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2827-0462","authenticated-orcid":false,"given":"Muhammad","family":"Imran","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Asima","family":"Razzaque","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0084-5954","authenticated-orcid":false,"given":"Usman","family":"Ali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,10,22]]},"reference":[{"volume-title":"Chemical Graph Theory: Introduction and Fundamentals","year":"1991","author":"Bonchev D.","key":"e_1_2_8_1_2"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.1021\/ja00856a001"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1021\/cr0780006"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1021\/cr0004456"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-008-9515-z"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-009-9542-4"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2009.05.022"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13660-016-1186-x"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13660-016-1250-6"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13660-017-1350-y"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2010.10.038"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-010-9702-6"},{"key":"e_1_2_8_13_2","first-page":"761","article-title":"General sum-connectivity index with \u03c1 \u2265 1 for bicyclic graphs","volume":"72","author":"Tache R.-M.","year":"2014","journal-title":"MATCH Commun. 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