{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:05Z","timestamp":1753893785363,"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>We establish the threshold function for the property that the line graph of a random $r$-uniform hypergraph has a Hamilton cycle. The main result gives also the threshold function for Hamiltonicity of uniform random intersection graphs with a bounded number of attributes assigned to each vertex. The problem is closely related to Berge Hamilton cycles in random $r$-uniform hypergraphs.<\/jats:p>","DOI":"10.37236\/11365","type":"journal-article","created":{"date-parts":[[2024,4,18]],"date-time":"2024-04-18T08:50:07Z","timestamp":1713430207000},"source":"Crossref","is-referenced-by-count":0,"title":["Hamilton Cycles in the Line Graph of a Random Hypergraph"],"prefix":"10.37236","volume":"31","author":[{"given":"Katarzyna","family":"Rybarczyk","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2024,4,19]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i2p17\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i2p17\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,18]],"date-time":"2024-04-18T08:50:07Z","timestamp":1713430207000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v31i2p17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,19]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2024,4,5]]}},"URL":"https:\/\/doi.org\/10.37236\/11365","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2024,4,19]]},"article-number":"P2.17"}}