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It is known that there are integers [Formula: see text] and [Formula: see text] such that [Formula: see text] is a linear function in [Formula: see text] for all [Formula: see text]. In this paper, we give effective bounds for [Formula: see text] and [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196723500169","type":"journal-article","created":{"date-parts":[[2023,2,9]],"date-time":"2023-02-09T02:49:42Z","timestamp":1675910982000},"page":"317-335","source":"Crossref","is-referenced-by-count":1,"title":["Regularity of powers of cover ideals of bipartite graphs"],"prefix":"10.1142","volume":"33","author":[{"given":"Nguyen Thu","family":"Hang","sequence":"first","affiliation":[{"name":"Thai Nguyen University of Sciences, Tan Thinh Ward, Thai Nguyen City, Thai Nguyen, Vietnam"},{"name":"International Centre of Research and Postgraduate Training in Mathematics, 18B Hoang Quoc Viet Street, Ha Noi, Vietnam"}]},{"given":"Truong Thi","family":"Hien","sequence":"additional","affiliation":[{"name":"Hong Duc University, 565 Quang Trung Street, Dong Ve Ward, Thanh Hoa, Viet Nam"}]}],"member":"219","published-online":{"date-parts":[[2023,3,11]]},"reference":[{"issue":"3","key":"S0218196723500169BIB001","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1216\/RMJ-2019-49-3-699","volume":"49","author":"Alilooee A.","year":"2019","journal-title":"Rocky Mountain J. 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