{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:56Z","timestamp":1753893836680,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $s(n)$ be the side length of the smallest square into which $n$ non-overlapping unit squares can be packed. We show that $s(m^2-3)=m$ for $m=4,7$, implying that the most efficient packings of 13 and 46 squares are the trivial ones. <\/jats:p>","DOI":"10.37236\/398","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:09:54Z","timestamp":1578715794000},"source":"Crossref","is-referenced-by-count":2,"title":["Optimal Packings of 13 and 46 Unit Squares in a Square"],"prefix":"10.37236","volume":"17","author":[{"given":"Wolfram","family":"Bentz","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,9,13]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r126\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r126\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:23:27Z","timestamp":1579303407000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r126"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9,13]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/398","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2010,9,13]]},"article-number":"R126"}}