Uniform random generations and rejection method(I) with binomial majorant

03/16/2023

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by   Laurent Alonso, et al.

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We present three simple algorithms to uniformly generate `Fibonacci words' (i.e., some words that are enumerated by Fibonacci numbers), Schröder trees of size n and Motzkin left factors of size n and final height h. These algorithms have an average complexity of O(n) in the unit-cost RAM model.