Improving the Florentine algorithms: recovering algorithms for Motzkin and SchrΓΆder paths
February 16, 2018 Β· Declared Dead Β· π 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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