Compact Fenwick trees for dynamic ranking and selection

@article{Marchini2020CompactFT,
  title={Compact Fenwick trees for dynamic ranking and selection},
  author={Stefano Marchini and S. Vigna},
  journal={Software: Practice and Experience},
  year={2020},
  volume={50},
  pages={1184 - 1202}
}
The Fenwick tree is a classical implicit data structure that stores an array in such a way that modifying an element, accessing an element, computing a prefix sum and performing a predecessor search on prefix sums all take logarithmic time. We introduce a number of variants which improve the classical implementation of the tree: in particular, we can reduce its size when an upper bound on the array element is known, and we can perform much faster predecessor searches. Our aim is to use our… Expand
2 Citations
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