DROPS

Document

DOI: 10.4230/LIPIcs.MFCS.2018.16

Average Case Analysis of Leaf-Centric Binary Tree Sources

Authors: Louisa Seelbach Benkner and Markus Lohrey

Published in: LIPIcs, Volume 117, 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018)

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).

Cite as

Louisa Seelbach Benkner and Markus Lohrey. Average Case Analysis of Leaf-Centric Binary Tree Sources. In 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 117, pp. 16:1-16:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

Copy BibTex To Clipboard

@InProceedings{seelbachbenkner_et_al:LIPIcs.MFCS.2018.16,
  author =	{Seelbach Benkner, Louisa and Lohrey, Markus},
  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 =	{Potapov, Igor and Spirakis, Paul and Worrell, James},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2018.16},
  URN =		{urn:nbn:de:0030-drops-95982},
  doi =		{10.4230/LIPIcs.MFCS.2018.16},
  annote =	{Keywords: Directed acylic graphs, average case analysis, tree compression}
}

Search Results

Documents authored by Seelbach Benkner, Louisa

Average Case Analysis of Leaf-Centric Binary Tree Sources

Abstract

Cite as

Thanks for your feedback!

Could not send message