{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:48Z","timestamp":1753893828643,"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>In this paper we show that the maximum number of hyperedges in a $3$-uniform hypergraph on $n$ vertices without a (Berge) cycle of length five is less than $(0.254 + o(1))n^{3\/2}$, improving an estimate of Bollob\u00e1s and Gy\u0151ri.\r\nWe obtain this result by showing that not many $3$-paths can start from certain subgraphs of the shadow.<\/jats:p>","DOI":"10.37236\/8806","type":"journal-article","created":{"date-parts":[[2020,5,7]],"date-time":"2020-05-07T03:25:10Z","timestamp":1588821910000},"source":"Crossref","is-referenced-by-count":0,"title":["3-Uniform Hypergraphs without a Cycle of Length Five"],"prefix":"10.37236","volume":"27","author":[{"given":"Beka","family":"Ergemlidze","sequence":"first","affiliation":[]},{"given":"Ervin","family":"Gy\u0151ri","sequence":"additional","affiliation":[]},{"given":"Abhishek","family":"Methuku","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2020,5,1]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i2p16\/8073","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i2p16\/8073","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,7]],"date-time":"2020-05-07T03:25:11Z","timestamp":1588821911000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v27i2p16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,1]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2020,4,3]]}},"URL":"https:\/\/doi.org\/10.37236\/8806","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2020,5,1]]},"article-number":"P2.16"}}