{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:37Z","timestamp":1753893817951,"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 article we prove explicit formulae for the number of non-isomorphic cluster-tilted algebras of type $\\tilde A_n$ in the derived equivalence classes.  In particular, we obtain the number of elements in the mutation classes of quivers of type $\\tilde A_n$.  As a by-product, this provides an alternative proof for the number of quivers mutation equivalent to a quiver of Dynkin type $D_n$ which was first determined by Buan and Torkildsen.<\/jats:p>","DOI":"10.37236\/585","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:48:06Z","timestamp":1578714486000},"source":"Crossref","is-referenced-by-count":3,"title":["Counting the Number of Elements in the Mutation Classes of $\\tilde A_n-$Quivers"],"prefix":"10.37236","volume":"18","author":[{"given":"Janine","family":"Bastian","sequence":"first","affiliation":[]},{"given":"Thomas","family":"Prellberg","sequence":"additional","affiliation":[]},{"given":"Martin","family":"Rubey","sequence":"additional","affiliation":[]},{"given":"Christian","family":"Stump","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2011,4,29]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p98\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p98\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:12:44Z","timestamp":1579302764000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p98"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,4,29]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/585","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,4,29]]},"article-number":"P98"}}