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arXiv · 1911.08971

Faster Dynamic Compressed d-ary Relations

Diego Arroyuelo·Guillermo de Bernardo·Travis Gagie·Gonzalo Navarro
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Abstract

The $k^2$-tree is a successful compact representation of binary relations that exhibit sparseness and/or clustering properties. It can be extended to $d$ dimensions, where it is called a $k^d$-tree. The representation boils down to a long bitvector. We show that interpreting the $k^d$-tree as a dynamic trie on the Morton codes of the points, instead of as a dynamic representation of the bitvector as done in previous work, yields operation times that are below the lower bound of dynamic bitvectors and offers improved time performance in practice.

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Diego Arroyuelo, Guillermo de Bernardo, Travis Gagie, Gonzalo Navarro. 2019-11-20. Faster Dynamic Compressed d-ary Relations. https://doi.org/10.1007/978-3-030-32686-9_30

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