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Communication Dans Un Congrès Année : 2013

Exact-size Sampling for Motzkin Trees in Linear Time via Boltzmann Samplers and Holonomic Specification

Axel Bacher
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Alice Jacquot
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Résumé

Boltzmann samplers are a kind of random samplers; in 2004, Duchon, Flajolet, Louchard and Schaeffer showed that given a combinatorial class and a combinatorial specification for that class, one can automatically build a Boltzmann sampler. In this paper, we introduce a Boltzmann sampler for Motzkin trees built from a holonomic specification, that is, a specification that uses the pointing operator. This sampler is inspired by Rémy's algorithm on binary trees. We show that our algorithm gives an exact size sampler with a linear time and space complexity in average.
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Dates et versions

hal-00989647 , version 1 (12-05-2014)

Identifiants

  • HAL Id : hal-00989647 , version 1

Citer

Axel Bacher, Olivier Bodini, Alice Jacquot. Exact-size Sampling for Motzkin Trees in Linear Time via Boltzmann Samplers and Holonomic Specification. ANALCO 2013, Jan 2013, New Orleans, United States. pp.Pages 52--61. ⟨hal-00989647⟩
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