{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:20Z","timestamp":1753893860963,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We consider two varieties of labeled rooted trees, namely non-plane and plane 1-2 trees. In these tree varieties, we study the probability that a vertex chosen from all vertices of all trees of a given size uniformly at random has a given rank. We prove that this probability converges to a limit as the tree size goes to infinity.<\/jats:p>","DOI":"10.37236\/7731","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T06:45:49Z","timestamp":1578638749000},"source":"Crossref","is-referenced-by-count":1,"title":["Limiting Probabilities for Vertices of a Given Rank in 1-2 Trees"],"prefix":"10.37236","volume":"26","author":[{"given":"Mikl\u00f3s","family":"B\u00f3na","sequence":"first","affiliation":[]},{"given":"Istv\u00e1n","family":"Mez\u0151","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,8,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p41\/7901","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p41\/7901","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:09:30Z","timestamp":1579234170000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i3p41"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,30]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,7,4]]}},"URL":"https:\/\/doi.org\/10.37236\/7731","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,8,30]]},"article-number":"P3.41"}}