Gilbert Labelle ; Louise Laforest ; Xavier Provençal - Around the root of random multidimensional quadtrees

dmtcs:3484 - Discrete Mathematics & Theoretical Computer Science, January 1, 2006, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities - https://doi.org/10.46298/dmtcs.3484
Around the root of random multidimensional quadtreesConference paper

Authors: Gilbert Labelle 1; Louise Laforest 1; Xavier Provençal 1

  • 1 Laboratoire de combinatoire et d'informatique mathématique [Montréal]


We analyse the distribution of the root pattern of randomly grown multidimensional point quadtrees. In particular, exact, recursive and asymptotic formulas are given for the expected arity of the root.

https://doi.org/10.46298/dmtcs.3484
Source: HAL:hal-01184686v1
Volume: DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities
Section: Proceedings
Published on: January 1, 2006
Imported on: May 10, 2017
Keywords: [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [en] point quadtrees, asymptotics, random structures.
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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