{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:15Z","timestamp":1753893855348,"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>In this paper we answer two recent questions from Charlier et al. (2014) and Harju (2013) about self-shuffling words. An infinite word $w$ is called self-shuffling, if $w=\\prod_{i=0}^\\infty U_iV_i=\\prod_{i=0}^\\infty U_i=\\prod_{i=0}^\\infty V_i$ for some finite words $U_i$, $V_i$. Harju recently asked whether square-free self-shuffling words exist. We answer this question affirmatively. Besides that, we build an infinite word such that no word in its shift orbit closure is self-shuffling, answering positively a question of E. Charlier et al.<\/jats:p>","DOI":"10.37236\/4825","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:30:27Z","timestamp":1578702627000},"source":"Crossref","is-referenced-by-count":1,"title":["On Shuffling of Infinite Square-Free Words"],"prefix":"10.37236","volume":"22","author":[{"given":"Mike","family":"M\u00fcller","sequence":"first","affiliation":[]},{"given":"Svetlana","family":"Puzynina","sequence":"additional","affiliation":[]},{"given":"Micha\u00ebl","family":"Rao","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,3,6]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p55\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p55\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:24:38Z","timestamp":1579256678000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i1p55"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,6]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,1,2]]}},"URL":"https:\/\/doi.org\/10.37236\/4825","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,3,6]]},"article-number":"P1.55"}}