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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2006

Around the root of random multidimensional quadtrees

Abstract

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.
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Dates and versions

hal-01184686 , version 1 (17-08-2015)

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Gilbert Labelle, Louise Laforest, Xavier Provençal. Around the root of random multidimensional quadtrees. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.335-344, ⟨10.46298/dmtcs.3484⟩. ⟨hal-01184686⟩

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