{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:33Z","timestamp":1753893813701,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $r,c,s\\in\\{1,2,\\ldots,n\\}$ and let $P$ be a partial latin square of order $n$ in which each nonempty cell lies in row $r$, column $c$, or contains symbol $s$. We show that if $n\\notin\\{3,4,5\\}$ and row $r$, column $c$, and symbol $s$ can be completed in $P$, then a completion of $P$ exists. As a consequence, this proves a conjecture made by Casselgren and H\u00e4ggkvist. Furthermore, we show exactly when row $r$, column $c$, and symbol $s$ can be completed.<\/jats:p>","DOI":"10.37236\/5675","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T21:15:36Z","timestamp":1578690936000},"source":"Crossref","is-referenced-by-count":1,"title":["Completing Partial Latin Squares with One Nonempty Row, Column, and Symbol"],"prefix":"10.37236","volume":"23","author":[{"given":"Jaromy","family":"Kuhl","sequence":"first","affiliation":[]},{"given":"Michael W.","family":"Schroeder","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,4,29]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i2p23\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i2p23\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:28:55Z","timestamp":1579238935000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i2p23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,29]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2016,3,31]]}},"URL":"https:\/\/doi.org\/10.37236\/5675","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2016,4,29]]},"article-number":"P2.23"}}