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The Cartographer
Bernoulli Factories for Flow-Based Polytopes
July 18, 2022 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Rad Niazadeh, Renato Paes Leme, Jon Schneider
arXiv ID
2207.08965
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM,
math.CO,
math.PR
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
We construct explicit combinatorial Bernoulli factories for the class of \emph{flow-based polytopes}; integral 0/1-polytopes defined by a set of network flow constraints. This generalizes the results of Niazadeh et al. (who constructed an explicit factory for the specific case of bipartite perfect matchings) and provides novel exact sampling procedures for sampling paths, circulations, and $k$-flows. In the process, we uncover new connections to algebraic combinatorics.
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