Syntactic View of Sigma-Tau Generation of Permutations
March 26, 2019 · Declared Dead · 🏛 Language and Automata Theory and Applications
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Authors
Wojciech Rytter, Wiktor Zuba
arXiv ID
1903.10701
Category
cs.DS: Data Structures & Algorithms
Citations
3
Venue
Language and Automata Theory and Applications
Last Checked
4 months ago
Abstract
We give a syntactic view of the Sawada-Williams $(σ,τ)$-generation of permutations. The corresponding sequence of $σ-τ$-operations, of length $n!-1$ is shown to be highly compressible: it has $O(n^2\log n)$ bit description. Using this compact description we design fast algorithms for ranking and unranking permutations.
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