# Self-Balancing Trees Creation (Self-Balancing Trees Creation)

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## Description

Create a self-balancing tree given a list of elements.

## Parameters

$n$: size of tree

## Table of Algorithms

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

AVL Tree | 1962 | $O(n \log n)$ | $O(n)$ | Exact | Deterministic | |

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

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

Tarjan Splay Tree | 1985 | $O(n \log n)$ | $O(n)$ | Exact | Deterministic | |

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

Scapegoat Tree | 1989 | $O(nlogn)$ | $O(n)$ | Exact | Deterministic | Time |

Treap | 1989 | $O(nlogn)$ | $O(n)$ | Exact | Randomized | Time |

Tango Tree | 2004 | $O(nlogn)$ | $O(n)$ | Exact | Deterministic | Time |