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In mathematical chemistry, finding extreme graphs with respect to topological index is an active area of research. The aim of this paper is to characterize the family of unicyclic graphs with extreme (largest and smallest) <jats:italic>F<\/jats:italic>\u2010coindex. Moreover, the study also contains different other properties of unicyclic graphs. All these results are based upon an alternative form of <jats:italic>F<\/jats:italic>\u2010coindex which is established with the help of special property in the graphs.<\/jats:p>","DOI":"10.1155\/2021\/8480971","type":"journal-article","created":{"date-parts":[[2021,8,26]],"date-time":"2021-08-26T21:35:11Z","timestamp":1630013711000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Characterization of Extremal Unicyclic Graphs Using <i>F<\/i>\u2010Coindex"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2827-0462","authenticated-orcid":false,"given":"Muhammad","family":"Imran","sequence":"first","affiliation":[]},{"given":"Yasir","family":"Ali","sequence":"additional","affiliation":[]},{"given":"Zainab","family":"Bibi","sequence":"additional","affiliation":[]},{"given":"Muhammad 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