{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T23:03:47Z","timestamp":1766012627253,"version":"3.41.2"},"reference-count":17,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,5,13]],"date-time":"2021-05-13T00:00:00Z","timestamp":1620864000000},"content-version":"vor","delay-in-days":132,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>For a graph <jats:italic>G<\/jats:italic>, its variable sum exdeg index is defined as , where <jats:italic>a<\/jats:italic> is a real number other than 1 and <jats:italic>d<\/jats:italic><jats:sub><jats:italic>x<\/jats:italic><\/jats:sub> is the degree of a vertex <jats:italic>x<\/jats:italic>. In this paper, we characterize all trees on <jats:italic>n<\/jats:italic> vertices with first three maximum and first three minimum values of the SEI<jats:sub><jats:italic>a<\/jats:italic><\/jats:sub> index. Also, we determine all the trees of order <jats:italic>n<\/jats:italic> with given diameter <jats:italic>d<\/jats:italic> and having first three largest values of the SEI<jats:sub><jats:italic>a<\/jats:italic><\/jats:sub> index.<\/jats:p>","DOI":"10.1155\/2021\/6491886","type":"journal-article","created":{"date-parts":[[2021,5,13]],"date-time":"2021-05-13T20:05:05Z","timestamp":1620936305000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On the First Three Extremum Values of Variable Sum Exdeg Index of Trees"],"prefix":"10.1155","volume":"2021","author":[{"given":"Shu-Bo","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Syed Sheraz","family":"Asghar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0717-7557","authenticated-orcid":false,"given":"Muhammad Ahsan","family":"Binyamin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1549-3584","authenticated-orcid":false,"given":"Zahid","family":"Iqbal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8853-305X","authenticated-orcid":false,"given":"Tayyeb","family":"Mahmood","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4523-8023","authenticated-orcid":false,"given":"Adnan","family":"Aslam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,5,13]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2"},{"volume-title":"Molecular Connectivity in Structure Activity Analysis","year":"1986","author":"kier L. 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