{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T12:46:20Z","timestamp":1770295580993,"version":"3.49.0"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11661013"],"award-info":[{"award-number":["11661013"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11661014"],"award-info":[{"award-number":["11661014"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11961050"],"award-info":[{"award-number":["11961050"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p> The unit graph of a ring [Formula: see text] is the simple graph, denoted by [Formula: see text], whose vertex set is [Formula: see text], and in which two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text] is a unit of [Formula: see text]. In this paper, we completely determine the domination number of [Formula: see text] when [Formula: see text] has exactly three prime divisors. <\/jats:p>","DOI":"10.1142\/s1793830920500597","type":"journal-article","created":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T13:40:06Z","timestamp":1591278006000},"page":"2050059","source":"Crossref","is-referenced-by-count":7,"title":["Domination number of unit graph of \u2124n"],"prefix":"10.1142","volume":"12","author":[{"given":"Huadong","family":"Su","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Nanning Normal University, Nanning, Guangxi, 530299, P. R. China"}]},{"given":"Liying","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Nanning Normal University, Nanning, Guangxi, 530299, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2020,6,4]]},"reference":[{"key":"S1793830920500597BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s40065-013-0067-0"},{"key":"S1793830920500597BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S100538671500070X"},{"key":"S1793830920500597BIB003","doi-asserted-by":"publisher","DOI":"10.1080\/00927870903095574"},{"key":"S1793830920500597BIB004","series-title":"A Series of Books in the Mathematical Sciences","volume-title":"Computers and Intractability, A Guide to the Theory of NP-Completeness","author":"Garey M. R.","year":"1979"},{"key":"S1793830920500597BIB005","series-title":"Congr. Numer.","first-page":"95","volume-title":"Proc. 20th Southeastern Conf. Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1989).","volume":"71","author":"Grimaldi R. P.","year":"1990"},{"key":"S1793830920500597BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s10474-012-0250-3"},{"key":"S1793830920500597BIB007","doi-asserted-by":"publisher","DOI":"10.4171\/RSMUP\/133-9"},{"key":"S1793830920500597BIB008","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.2011.249.419"},{"key":"S1793830920500597BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498815500024"},{"key":"S1793830920500597BIB010","doi-asserted-by":"publisher","DOI":"10.5486\/PMD.2015.6096"},{"key":"S1793830920500597BIB011","doi-asserted-by":"publisher","DOI":"10.11650\/tjm\/180602"},{"key":"S1793830920500597BIB012","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498813500825"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830920500597","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,2]],"date-time":"2020-10-02T07:24:27Z","timestamp":1601623467000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830920500597"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,4]]},"references-count":12,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2020,10]]}},"alternative-id":["10.1142\/S1793830920500597"],"URL":"https:\/\/doi.org\/10.1142\/s1793830920500597","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,4]]}}}