On Adaptive Integer Sorting

@inproceedings{Pagh2004OnAI,
  title={On Adaptive Integer Sorting},
  author={Anna Pagh and Rasmus Pagh and Mikkel Thorup},
  booktitle={ESA},
  year={2004}
}
Abstract. This paper considers integer sorting on a RAM. We show This paper considers integer sorting on a RAM. We show that adaptive sorting of a sequence with qn inversions is asymptotically equivalent to multisorting groups of at most q keys, and a total of n keys. Using the recent O(n √ log log n) expected time sorting of Han and Thorup on each set, we immediately get an adaptive expected sorting time of O(n √ log log q). Interestingly, for any positive constant ε, we show that multisorting… CONTINUE READING

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