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A perfect Italian dominating function on [Formula: see text] is a function [Formula: see text] such that for each [Formula: see text] with [Formula: see text], [Formula: see text]. The weight of a perfect Italian dominating function [Formula: see text] is the value [Formula: see text]. The perfect Italian domination number of [Formula: see text] is the minimum weight of a perfect Italian dominating function on [Formula: see text]. In this paper, we study the perfect Italian domination in graphs under some binary operations. <\/jats:p>","DOI":"10.1142\/s1793830923500854","type":"journal-article","created":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T03:14:11Z","timestamp":1694574851000},"source":"Crossref","is-referenced-by-count":0,"title":["On perfect Italian domination in graphs"],"prefix":"10.1142","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1916-2742","authenticated-orcid":false,"given":"Leonard M.","family":"Paleta","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science and Mathematics, University of Southern Mindanao, Kabacan, North Cotabato, Philippines"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-7424-8994","authenticated-orcid":false,"given":"Ferdinand P.","family":"Jamil","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, CSM, Center for Mathematical and Theoretical Physical Sciences, PRISM, MSU-Iligan Institute of Technology, Iligan City, Philippines"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,10,31]]},"reference":[{"issue":"2","key":"S1793830923500854BIB001","first-page":"218","volume":"68","author":"Alhashim A.","year":"2017","journal-title":"Aust. 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