{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:22:21Z","timestamp":1759335741355,"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 the packing density of various layered permutations is calculated, thus solving some problems suggested by Albert, Atkinson, Handley, Holton $\\&amp;$ Stromquist [Electron. J. Combin. 9  (2002), $\\#$R5]. Specifically, the density is found for layered permutations of type $[m_1, \\ldots, m_r]$ when $\\log(r+1)\\le \\min\\{ m_i\\}$. It is also shown how to derive good estimates for the packing density of permutations of type $[k,1,k]$ when $k\\ge 3$. Both results are based on establishing the number of layers in near optimal permutations using a layer-merging technique.<\/jats:p>","DOI":"10.37236\/1673","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:23:49Z","timestamp":1578709429000},"source":"Crossref","is-referenced-by-count":10,"title":["The Packing Density of Other Layered Permutations"],"prefix":"10.37236","volume":"9","author":[{"given":"Peter A.","family":"H\u00e4st\u00f6","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2002,10,31]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i2r1\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i2r1\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:13:11Z","timestamp":1579324391000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v9i2r1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,10,31]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2002,10,31]]}},"URL":"https:\/\/doi.org\/10.37236\/1673","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2002,10,31]]},"article-number":"R1"}}