{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:25:52Z","timestamp":1759335952311,"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>This paper extends Lewis's bijection (J. Combin. Theorey Ser. A 118, 2011) to a bijection between a more general class $\\mathcal{L}(n,k,I)$ of permutations and the set of standard Young tableaux of shape $\\langle (k+1)^n\\rangle$, so the cardinality\\[|\\mathcal{L}(n,k,I)|=f^{\\langle (k+1)^n\\rangle},\\]is independent of the choice of $I\\subseteq [n]$. As a consequence, we obtain some new combinatorial realizations and identities on Catalan numbers. In the end, we raise a problem on finding a bijection between $\\mathcal{L}(n,k,I)$ and $\\mathcal{L}(n,k,I')$ for distinct $I$ and $I'$.<\/jats:p>","DOI":"10.37236\/6427","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T19:34:32Z","timestamp":1578684872000},"source":"Crossref","is-referenced-by-count":2,"title":["Pattern Avoidance and Young Tableaux"],"prefix":"10.37236","volume":"24","author":[{"given":"Zhousheng","family":"Mei","sequence":"first","affiliation":[]},{"given":"Suijie","family":"Wang","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,1,20]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i1p6\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i1p6\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:06:12Z","timestamp":1579237572000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i1p6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,20]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2017,1,20]]}},"URL":"https:\/\/doi.org\/10.37236\/6427","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2017,1,20]]},"article-number":"P1.6"}}