Optimal Generation of Strictly Increasing Binary Trees and Beyond

Olivier Bodini; Francis Durand; Philippe Marchal

doi:10.4204/eptcs.403.15

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arXiv · 2406.16396

Optimal Generation of Strictly Increasing Binary Trees and Beyond

Olivier Bodini·Francis Durand·Philippe Marchal

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Abstract

This article presents two novel algorithms for generating random increasing trees. The first algorithm efficiently generates strictly increasing binary trees using an ad hoc method. The second algorithm improves the recursive method for weighted strictly increasing unary-binary increasing trees, optimizing randomness usage.

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Olivier Bodini, Francis Durand, Philippe Marchal. 2024-06-24. Optimal Generation of Strictly Increasing Binary Trees and Beyond. https://doi.org/10.4204/eptcs.403.15

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