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DOI: 10.4230/LIPIcs.MFCS.2018.16
URN: urn:nbn:de:0030-drops-95982
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9598/
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Seelbach Benkner, Louisa ; Lohrey, Markus

Average Case Analysis of Leaf-Centric Binary Tree Sources

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LIPIcs-MFCS-2018-16.pdf (0.5 MB)


Abstract

We study the average size of the minimal directed acyclic graph (DAG) with respect to so-called leaf-centric binary tree sources as studied by Zhang, Yang, and Kieffer. A leaf-centric binary tree source induces for every n >= 2 a probability distribution on all binary trees with n leaves. We generalize a result shown by Flajolet, Gourdon, Martinez and Devroye according to which the average size of the minimal DAG of a binary tree that is produced by the binary search tree model is Theta(n / log n).

BibTeX - Entry

@InProceedings{seelbachbenkner_et_al:LIPIcs:2018:9598,
  author =	{Louisa Seelbach Benkner and Markus Lohrey},
  title =	{{Average Case Analysis of Leaf-Centric Binary Tree Sources}},
  booktitle =	{43rd International Symposium on Mathematical Foundations  of Computer Science (MFCS 2018)},
  pages =	{16:1--16:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-086-6},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{117},
  editor =	{Igor Potapov and Paul Spirakis and James Worrell},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9598},
  URN =		{urn:nbn:de:0030-drops-95982},
  doi =		{10.4230/LIPIcs.MFCS.2018.16},
  annote =	{Keywords: Directed acylic graphs, average case analysis, tree compression}
}

Keywords: Directed acylic graphs, average case analysis, tree compression
Seminar: 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018)
Issue Date: 2018
Date of publication: 20.08.2018


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