Syntactic View of Sigma-Tau Generation of Permutations

Wojciech Rytter; Wiktor Zuba

doi:10.1007/978-3-030-13435-8_33

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arXiv · 1903.10701

Syntactic View of Sigma-Tau Generation of Permutations

Wojciech Rytter·Wiktor Zuba

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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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BibTeX RIS

Wojciech Rytter, Wiktor Zuba. 2019-03-26. Syntactic View of Sigma-Tau Generation of Permutations. https://doi.org/10.1007/978-3-030-13435-8_33

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