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From the class of all [Formula: see text]-vertex (molecular) trees, graphs with the first five minimal [Formula: see text]-values have already been characterized in the literature. The main purpose of this paper is to determine the graphs with the sixth, seventh and eighth minimal [Formula: see text]-values among all the members of the aforementioned class for [Formula: see text], [Formula: see text] and [Formula: see text], respectively.<\/jats:p>","DOI":"10.1142\/s1793830919500022","type":"journal-article","created":{"date-parts":[[2018,11,8]],"date-time":"2018-11-08T02:44:50Z","timestamp":1541645090000},"page":"1950002","source":"Crossref","is-referenced-by-count":3,"title":["Molecular trees with the sixth, seventh and eighth minimal irregularity values"],"prefix":"10.1142","volume":"11","author":[{"given":"Ali Reza","family":"Ashrafi","sequence":"first","affiliation":[{"name":"Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317\u201353153, I R Iran"}]},{"given":"Ali","family":"Ghalavand","sequence":"additional","affiliation":[{"name":"Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317\u201353153, I R Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8160-4196","authenticated-orcid":false,"given":"Akbar","family":"Ali","sequence":"additional","affiliation":[{"name":"Knowledge Unit of Science, University of Management and Technology, Sialkot 51310, Pakistan"}]}],"member":"219","published-online":{"date-parts":[[2019,2,8]]},"reference":[{"key":"S1793830919500022BIB001","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1407315A"},{"key":"S1793830919500022BIB002","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1733"},{"key":"S1793830919500022BIB003","first-page":"219","volume":"46","author":"Albertson M. 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