{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:53Z","timestamp":1753893833319,"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>We show that the number of quivers in the mutation class of a quiver of Dynkin type $D_n$ is given by $\\sum_{d|n}\\phi(n\/d){2d\\choose d}\/(2n)$ for $n \\geq 5$. To obtain this formula, we give a correspondence between the quivers in the mutation class and certain rooted trees.<\/jats:p>","DOI":"10.37236\/138","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:32:16Z","timestamp":1578717136000},"source":"Crossref","is-referenced-by-count":7,"title":["The Number of Elements in the Mutation Class of a Quiver of Type $D_n$"],"prefix":"10.37236","volume":"16","author":[{"given":"Aslak Bakke","family":"Buan","sequence":"first","affiliation":[]},{"given":"Hermund Andr\u00e9","family":"Torkildsen","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2009,4,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r49\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r49\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T03:04:48Z","timestamp":1579316688000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v16i1r49"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4,22]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2009,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/138","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2009,4,22]]},"article-number":"R49"}}