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  • 标题:Counting Planar Tanglegrams
  • 作者:Dimbinaina Ralaivaosaona ; Jean Bernoulli Ravelomanana ; Stephan Wagner
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2018
  • 卷号:110
  • 页码:32:1-32:18
  • DOI:10.4230/LIPIcs.AofA.2018.32
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Tanglegrams are structures consisting of two binary rooted trees with the same number of leaves and a perfect matching between the leaves of the two trees. We say that a tanglegram is planar if it can be drawn in the plane without crossings. Using a blend of combinatorial and analytic techniques, we determine an asymptotic formula for the number of planar tanglegrams with n leaves on each side.
  • 关键词:rooted binary trees; tanglegram; planar; generating functions; asymptotic enumeration; singularity analysis
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