{"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":1753893828639,"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>Consider $n$ unit intervals,\u00a0say $[1,2], [3,4], \\ldots, [2n-1,2n]$.\u00a0Identify their endpoints in pairs at random, with all\u00a0$(2n-1)!! = (2n-1)(2n-3)\\cdots 3\\cdot 1$ pairings being equally likely.\u00a0The result is a collection of cycles of various lengths,\u00a0and we investigate the distribution of these lengths.\u00a0The distribution is similar to that of the distribution of the lengths\u00a0of cycles in a random permutation, but it also exhibits some striking\u00a0differences.<\/jats:p>","DOI":"10.37236\/3643","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:13:03Z","timestamp":1578705183000},"source":"Crossref","is-referenced-by-count":0,"title":["Random Cyclations"],"prefix":"10.37236","volume":"20","author":[{"given":"Nicholas","family":"Pippenger","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,10,28]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p9\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p9\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:11:48Z","timestamp":1579259508000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i4p9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,28]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2013,10,14]]}},"URL":"https:\/\/doi.org\/10.37236\/3643","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,10,28]]},"article-number":"P9"}}