{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,23]],"date-time":"2024-07-23T04:30:11Z","timestamp":1721709011342},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2021,2]]},"abstract":"<jats:p> This paper aims to find certain bounds for the domination number of Latin square graphs, i.e., a simple graph assigned to a Latin square. In fact, we show that if [Formula: see text] is a Latin square of order [Formula: see text] and [Formula: see text] is the associated Latin square graph of [Formula: see text], then [Formula: see text]. We will investigate in which case the equalities hold. Finally, we study the domination number of Latin square graph associated to groups. In particular, we show that if [Formula: see text], then [Formula: see text]. Also, we prove that if [Formula: see text], then [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830920500901","type":"journal-article","created":{"date-parts":[[2020,7,15]],"date-time":"2020-07-15T02:34:02Z","timestamp":1594780442000},"page":"2050090","source":"Crossref","is-referenced-by-count":2,"title":["On domination number of Latin square graphs of finite cyclic groups"],"prefix":"10.1142","volume":"13","author":[{"given":"Sara","family":"Pouyandeh","sequence":"first","affiliation":[{"name":"Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran"}]},{"given":"Maryam","family":"Golriz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran"}]},{"given":"Mohammadreza","family":"Sorouhesh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran"}]},{"given":"Maryam","family":"Khademi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran"}]}],"member":"219","published-online":{"date-parts":[[2020,8,21]]},"reference":[{"key":"S1793830920500901BIB001","volume-title":"Theory of Graphs and it\u2019s Applications","author":"Berge C.","year":"1962"},{"key":"S1793830920500901BIB002","doi-asserted-by":"crossref","first-page":"2613","DOI":"10.1016\/j.disc.2016.04.025","volume":"339","author":"Besharati N.","year":"2016","journal-title":"Discr. 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