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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