Improving the Florentine algorithms: recovering algorithms for Motzkin and SchrΓΆder paths

February 16, 2018 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Axel Bacher arXiv ID 1802.06030 Category cs.DS: Data Structures & Algorithms Cross-listed math.CO Citations 1 Venue arXiv.org Last Checked 4 months ago
Abstract
We present random sampling procedures for Motzkin and SchrΓΆder paths, following previous work on Dyck paths. Our algorithms follow the anticipated rejection method of the Florentine algorithms (Barcucci et al. 1994+), but introduce a recovery idea to greatly reduce the probability of rejection. They use an optimal amount of randomness and achieve a better time complexity than the Florentine algorithms.
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