{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T13:33:17Z","timestamp":1762522397457,"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>We consider the problem whether a permutation of a finite set is uniquely determined by its identification minors. While there exist non-reconstructible permutations of every set with two, three, or four elements, we show that every permutation of a finite set with at least five elements is reconstructible from its identification minors. Moreover, we provide an algorithm for recovering a permutation from its deck. We also discuss a generalization of this reconstruction problem, as well as the related set-reconstruction problem.<\/jats:p>","DOI":"10.37236\/5353","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T17:46:25Z","timestamp":1578678385000},"source":"Crossref","is-referenced-by-count":3,"title":["Reconstructing Permutations from Identification Minors"],"prefix":"10.37236","volume":"22","author":[{"given":"Erkko","family":"Lehtonen","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,10,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i4p20\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i4p20\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:08:27Z","timestamp":1579237707000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i4p20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,30]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2015,10,16]]}},"URL":"https:\/\/doi.org\/10.37236\/5353","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,10,30]]},"article-number":"P4.20"}}