{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T13:32:43Z","timestamp":1762522363549,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The $i$th cycle minor of a permutation $p$ of the set $\\{1,2,\\ldots,n\\}$ is the permutation formed by deleting an entry $i$ from the decomposition of $p$ into disjoint cycles and reducing each remaining entry larger than $i$ by $1$.  In this paper, we show that any permutation of $\\{1,2,\\ldots,n\\}$ can be reconstructed from its set of cycle minors if and only if $n\\ge 6$.  We then use this to provide an alternate proof of a known result on a related reconstruction problem.<\/jats:p>","DOI":"10.37236\/108","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:36:05Z","timestamp":1578717365000},"source":"Crossref","is-referenced-by-count":2,"title":["Reconstructing Permutations from Cycle Minors"],"prefix":"10.37236","volume":"16","author":[{"given":"Maria","family":"Monks","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2009,2,4]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r19\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r19\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T03:12:58Z","timestamp":1579317178000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v16i1r19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,2,4]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2009,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/108","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2009,2,4]]},"article-number":"R19"}}