Efficient top-down updates in AVL trees

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1. Verfasser: Jugé, Vincent
Format: Preprint
Veröffentlicht: 2024
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author Jugé, Vincent
author_facet Jugé, Vincent
contents Since AVL trees were invented in 1962, two major open questions about rebalancing operations, which found positive answers in other balanced binary search trees, were left open: can these operations be performed top-down (with a fixed look-ahead), and can they use an amortised constant number of write operations per update? We propose an algorithm that answers both questions positively.
format Preprint
id arxiv_https___arxiv_org_abs_2411_09531
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient top-down updates in AVL trees
Jugé, Vincent
Data Structures and Algorithms
Since AVL trees were invented in 1962, two major open questions about rebalancing operations, which found positive answers in other balanced binary search trees, were left open: can these operations be performed top-down (with a fixed look-ahead), and can they use an amortised constant number of write operations per update? We propose an algorithm that answers both questions positively.
title Efficient top-down updates in AVL trees
topic Data Structures and Algorithms
url https://arxiv.org/abs/2411.09531