{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:15:52Z","timestamp":1760148952284,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,6,21]],"date-time":"2023-06-21T00:00:00Z","timestamp":1687305600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University Researchers","award":["PNURSP2023R259"],"award-info":[{"award-number":["PNURSP2023R259"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Topological indices are the numerical descriptors that correspond to some certain physicochemical properties of a chemical compound such as the boiling point, acentric factor, enthalpy of vaporisation, heat of fusion, etc. Among these topological indices, the Hyper Zagreb index, is the most effectively used topological index to predict the acentric factor of some octane isomers. In the current work, we investigate the extremal values of the Hyper Zagreb index for some classes of trees.<\/jats:p>","DOI":"10.3390\/sym15071295","type":"journal-article","created":{"date-parts":[[2023,6,22]],"date-time":"2023-06-22T01:49:32Z","timestamp":1687398572000},"page":"1295","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Hyper Zagreb Index of Trees with a Specified Degree of Vertices"],"prefix":"10.3390","volume":"15","author":[{"given":"Muhammad","family":"Rizwan","sequence":"first","affiliation":[{"name":"Department of Sciences and Humanities, National University of Computer & Emerging Sciences, Lahore Campus, Lahore 54770, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0254-3351","authenticated-orcid":false,"given":"Sana","family":"Shahab","sequence":"additional","affiliation":[{"name":"Department of Business Administration, College of Business Administration, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"given":"Akhlaq Ahmad","family":"Bhatti","sequence":"additional","affiliation":[{"name":"Department of Sciences and Humanities, National University of Computer & Emerging Sciences, Lahore Campus, Lahore 54770, Pakistan"}]},{"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 54770, Pakistan"}]},{"given":"Mohd","family":"Anjum","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Bondy, J.A., and Murty, U.S.R. (2008). Graph Theory, Springer. 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