{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:22:24Z","timestamp":1753885344650,"version":"3.41.2"},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,2]]},"abstract":"<jats:p> Computing topological indices of graphs is a fundamental and classical topic. Let [Formula: see text] be a connected graph. The revised Szeged index [Formula: see text] is defined as [Formula: see text], where [Formula: see text] (respectively, [Formula: see text]) is the number of vertices whose distance to vertex [Formula: see text] (respectively, [Formula: see text]) is smaller than the distance to vertex [Formula: see text] (respectively, [Formula: see text]), and [Formula: see text] is the number of vertices equidistant from both ends of [Formula: see text]. In this paper, we determine the smallest revised Szeged index among all conjugated unicyclic graphs (i.e., unicyclic graphs with perfect matchings), and the corresponding extremal graphs are characterized. <\/jats:p>","DOI":"10.1142\/s1793830921501159","type":"journal-article","created":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T16:13:21Z","timestamp":1614615201000},"source":"Crossref","is-referenced-by-count":0,"title":["On revised Szeged index of a class of unicyclic graphs"],"prefix":"10.1142","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7606-4842","authenticated-orcid":false,"given":"Hechao","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2021,4,7]]},"reference":[{"key":"S1793830921501159BIB001","doi-asserted-by":"publisher","DOI":"10.1002\/qua.26043"},{"key":"S1793830921501159BIB002","volume-title":"Graduate Texts in Mathematics","volume":"244","author":"Bondy J. A.","year":"2008"},{"key":"S1793830921501159BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830921500750"},{"key":"S1793830921501159BIB004","doi-asserted-by":"publisher","DOI":"10.1023\/A:1010767517079"},{"key":"S1793830921501159BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-018-0928-z"},{"key":"S1793830921501159BIB006","first-page":"9","volume":"27","author":"Gutman I.","year":"1994","journal-title":"Graph Theory Notes (NY)"},{"key":"S1793830921501159BIB007","first-page":"91","volume":"35","author":"Gutman I.","year":"1997","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"S1793830921501159BIB008","first-page":"757","volume":"79","author":"Hong Y.","year":"2018","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"S1793830921501159BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.08.051"},{"key":"S1793830921501159BIB010","doi-asserted-by":"publisher","DOI":"10.1080\/10406638.2021.1873151"},{"key":"S1793830921501159BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-019-00390-5"},{"key":"S1793830921501159BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2016.09.007"},{"key":"S1793830921501159BIB013","doi-asserted-by":"publisher","DOI":"10.18514\/MMN.2019.2793"},{"key":"S1793830921501159BIB014","first-page":"483","volume":"49","author":"Randi\u0107 M.","year":"2002","journal-title":"Acta Chim. Slov."},{"key":"S1793830921501159BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2017.07.027"},{"key":"S1793830921501159BIB016","doi-asserted-by":"publisher","DOI":"10.1021\/ja01193a005"},{"key":"S1793830921501159BIB017","first-page":"47","volume":"85","author":"Xiao Q.","year":"2021","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"S1793830921501159BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2020.08.036"},{"key":"S1793830921501159BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2010.09.010"},{"key":"S1793830921501159BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/s40840-018-00706-4"},{"key":"S1793830921501159BIB021","first-page":"199","volume":"63","author":"Zhou B.","year":"2010","journal-title":"MATCH Commun. Math. Comput. Chem."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921501159","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,7]],"date-time":"2022-03-07T11:35:47Z","timestamp":1646652947000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830921501159"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,7]]},"references-count":21,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["10.1142\/S1793830921501159"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921501159","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2021,4,7]]},"article-number":"2150115"}}