# Self-Balancing Trees Deletion (Self-Balancing Trees Deletion)

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## Description

Delete a given element from a self-balancing tree.

## Parameters

$n$: size of tree

## Table of Algorithms

Name | Year | Time | Space | Approximation Factor | Model | Reference |
---|---|---|---|---|---|---|

Hopcroft 2-3 Tree | 1970 | $O(\log n)$ | $O({1})$ | Exact | Deterministic | |

Guibas, Sedgewick Red-Black Tree | 1972 | $O(\log n)$ | $O({1})$ | Exact | Deterministic | Time |

AVL Tree | 1962 | $O(logn)$ | $O({1})$ | Exact | Deterministic | |

Tarjan Splay Tree | 1985 | $O(n)$ | $O({1})$ | Exact | Deterministic | |

Bayer, McCreight B-Tree | 1970 | $O(b*log(n)$/log(b))? | $O(b)$? | Exact | Deterministic | |

Scapegoat Tree | 1989 | $O(n)$ | $O({1})$? | Exact | Deterministic | Time |

Treap | 1989 | $O(n)$ | $O({1})$? | Exact | Randomized | Time |