Strictly In-Place Algorithms for Permuting and Inverting Permutations

@article{Dudek2021StrictlyIA,
  title={Strictly In-Place Algorithms for Permuting and Inverting Permutations},
  author={B. Dudek and Pawel Gawrychowski and Karol Pokorski},
  journal={ArXiv},
  year={2021},
  volume={abs/2101.03978}
}
We revisit the problem of permuting an array of length n according to a given permutation in place, that is, using only a small number of bits of extra storage. Fich, Munro and Poblete [FOCS 1990, SICOMP 1995] obtained an elegant O(n logn)-time algorithm using only O(log n) bits of extra space for this basic problem by designing a procedure that scans the permutation and outputs exactly one element from each of its cycles. However, in the strict sense in place should be understood as using only… Expand

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