{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:09Z","timestamp":1753893789002,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In this short paper we improve an almost 30 years old result of Erd\u0151s, S\u00e1rk\u00f6zy and S\u00f3s on lower bounds for the size of multiplicative square-free sequences. Our construction uses Berge-cycle free hypergraphs that is interesting in its own right.<\/jats:p>","DOI":"10.37236\/11477","type":"journal-article","created":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T02:47:41Z","timestamp":1701398861000},"source":"Crossref","is-referenced-by-count":1,"title":["Improved Lower Bounds for Multiplicative Square-Free Sequences"],"prefix":"10.37236","volume":"30","author":[{"given":"P\u00e9ter P\u00e1l","family":"Pach","sequence":"first","affiliation":[]},{"given":"M\u00e1t\u00e9","family":"Vizer","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2023,12,1]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i4p31\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i4p31\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T02:47:42Z","timestamp":1701398862000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v30i4p31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,1]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,10,6]]}},"URL":"https:\/\/doi.org\/10.37236\/11477","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2023,12,1]]},"article-number":"P4.31"}}