Self-balancing trees search

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Problem Description

A tree is model used to represent hierarchical data. In correspondence to natural trees, it has nodes, leaves and branches. A commonly mentioned tree is a binary tree, in which each node contains leads to two other nodes.

Bounds Chart

Self-balancing trees searchBoundsChart.png

Step Chart

Self-balancing trees searchStepChart.png

Improvement Table

Complexity Classes Algorithm Paper Links Lower Bounds Paper Links
Exp/Factorial
Polynomial > 3
Cubic
Quadratic
nlogn
Linear
logn [ 2-3 Tree (1970)]

Guibas, Sedgewick Red-Black Tree (1972)