{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:21:23Z","timestamp":1759638083572,"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>When two patterns occur equally often in a set of permutations, we say that\u00a0these patterns are equipopular. Using both structural and analytic tools, we\u00a0classify the equipopular patterns in the set of separable permutations. In\u00a0particular, we show that the number of equipopularity classes for length $n$ patterns\u00a0in the separable permutations is equal to the number of partitions of $n-1$.<\/jats:p>","DOI":"10.37236\/4797","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T19:14:24Z","timestamp":1578683664000},"source":"Crossref","is-referenced-by-count":8,"title":["Equipopularity Classes in the Separable Permutations"],"prefix":"10.37236","volume":"22","author":[{"given":"Michael","family":"Albert","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheyne","family":"Homberger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jay","family":"Pantone","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2015,4,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p2\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p2\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:22:53Z","timestamp":1579238573000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i2p2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,14]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,4,14]]}},"URL":"https:\/\/doi.org\/10.37236\/4797","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,4,14]]},"article-number":"P2.2"}}