{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:45Z","timestamp":1753893825591,"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>A relational structure is homomorphism-homogeneous if any homomorphism between its finite substructures extends to an\u00a0endomorphism of the structure in question. In this note, we characterise all permutations on a finite set enjoying this\u00a0property. To accomplish this, we switch from the more traditional view of a permutation as a set endowed with two\u00a0linear orders to a different representation by a single linear order (considered as a directed graph with loops) whose\u00a0non-loop edges are coloured in two colours, thereby `splitting' the linear order into two posets.<\/jats:p>","DOI":"10.37236\/2271","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:11:53Z","timestamp":1578712313000},"source":"Crossref","is-referenced-by-count":1,"title":["Finite Homomorphism-Homogeneous Permutations via Edge Colourings of Chains"],"prefix":"10.37236","volume":"19","author":[{"given":"Igor","family":"Dolinka","sequence":"first","affiliation":[]},{"given":"\u00c9va","family":"Jung\u00e1bel","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,11,1]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i4p17\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i4p17\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:28:19Z","timestamp":1579300099000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i4p17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11,1]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2012,10,18]]}},"URL":"https:\/\/doi.org\/10.37236\/2271","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2012,11,1]]},"article-number":"P17"}}