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arXiv · 1910.07849

Engineering Top-Down Weight-Balanced Trees

Lukas Barth·Dorothea Wagner
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Abstract

Weight-balanced trees are a popular form of self-balancing binary search trees. Their popularity is due to desirable guarantees, for example regarding the required work to balance annotated trees. While usual weight-balanced trees perform their balancing operations in a bottom-up fashion after a modification to the tree is completed, there exists a top-down variant which performs these balancing operations during descend. This variant has so far received only little attention. We provide an in-depth analysis and engineering of these top-down weight-balanced trees, demonstrating their superior performance. We also gaining insights into how the balancing parameters necessary for a weight-balanced tree should be chosen - with the surprising observation that it is often beneficial to choose parameters which are not feasible in the sense of the correctness proofs for the rebalancing algorithm.

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BibTeXRIS

Lukas Barth, Dorothea Wagner. 2019-10-17. Engineering Top-Down Weight-Balanced Trees. https://doi.org/10.1137/1.9781611976007.13

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