{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:29:26Z","timestamp":1771673366185,"version":"3.50.1"},"reference-count":22,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,12,4]],"date-time":"2022-12-04T00:00:00Z","timestamp":1670112000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Anhui Province Higher School","award":["KJ2020A0780"],"award-info":[{"award-number":["KJ2020A0780"]}]},{"name":"Anhui Province Higher School","award":["KJ2020A0779"],"award-info":[{"award-number":["KJ2020A0779"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The general eccentric connectivity index of a graph R is defined as \u03beec(R)=\u2211u\u2208V(G)d(u)ec(u)\u03b1, where \u03b1 is any real number, ec(u) and d(u) represent the eccentricity and the degree of the vertex u in R, respectively. In this paper, some bounds on the general eccentric connectivity index are proposed in terms of graph-theoretic parameters, namely, order, radius, independence number, eccentricity, pendent vertices and cut edges. Moreover, extremal graphs are characterized by these bounds.<\/jats:p>","DOI":"10.3390\/sym14122560","type":"journal-article","created":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T03:38:38Z","timestamp":1670211518000},"page":"2560","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Bounds on the General Eccentric Connectivity Index"],"prefix":"10.3390","volume":"14","author":[{"given":"Xinhong","family":"Yu","sequence":"first","affiliation":[{"name":"Basic Course Teaching Department, Hefei University of Economics, Hefei 230013, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2827-0462","authenticated-orcid":false,"given":"Muhammad","family":"Imran","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain 15551, Abu Dhabi, United Arab Emirates"}]},{"given":"Aisha","family":"Javed","sequence":"additional","affiliation":[{"name":"Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, Pakistan"}]},{"given":"Muhammad Kamran","family":"Jamil","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore 46000, Pakistan"}]},{"given":"Xuewu","family":"Zuo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Ministry of General Education, Anhui Xinhua University, Hefei 230013, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Bondy, J.A., and Murty, U.S.R. 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