{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,9]],"date-time":"2026-07-09T21:16:36Z","timestamp":1783631796356,"version":"3.55.0"},"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>Motivated by an old problem known as Ryser's Conjecture, we prove that for $r=4$ and $r=5$, there exists $\\epsilon&gt;0$ such that every $r$-partite $r$-uniform hypergraph $\\cal H$ has a cover of size at most $(r-\\epsilon)\\nu(\\cal H)$, where $\\nu(\\cal H)$ denotes the size of a largest matching in $\\cal H$.<\/jats:p>","DOI":"10.37236\/1175","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T22:32:52Z","timestamp":1578695572000},"source":"Crossref","is-referenced-by-count":10,"title":["On Ryser's conjecture"],"prefix":"10.37236","volume":"19","author":[{"given":"P. E.","family":"Haxell","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A. D.","family":"Scott","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"23455","published-online":{"date-parts":[[2012,1,21]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i1p23\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i1p23\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T17:42:49Z","timestamp":1579282969000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i1p23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1,21]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2012,2,15]]}},"URL":"https:\/\/doi.org\/10.37236\/1175","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1,21]]},"article-number":"P23"}}