In this post we will compare Red Black Tree and AVL Tree.
Red Black Tree:
- Self-Balancing is provided by painting each node with one two colors(Red or Black).
- When Tree is modified, new tree is subsequently rearranged and repainted.
- It requires 1 bit of color information for each node in tree.
Constraints maintained by Red Black Tree:
- Root is always black.
- All NULL leaves are black, both children of red node are black.
- Every simple path from a given node to any of its descendant leaves contains the same number of black
- Path form root to farthest leaf is no more than twice as long as path from root to nearest leaf.
AVL(Adelson-Velskii and Landis) Tree
- Height difference of left and right subtree of node should be less than 2.
- Re-balancing is done when heights of two child subtrees of a node differ by more than one.
- Faster retrievals as strictly balanced.
- AVL trees provide faster lookups than Red Black Trees because they are more strictly balanced.
- Red Black Trees provide faster insertion and removal operations than AVL trees as fewer rotations are done due to relatively relaxed balancing.
- AVL trees store balance factors or heights with each node, thus requires storage for an integer per node whereas Red Black Tree requires only 1 bit of information per node.
- Red Black Trees are used in most of the language libraries like map, multimap, multiset in C++ whereas AVL trees are used in databases where faster retrievals are required.
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- Red-Black Tree | Set 2 (Insert)
- Red-Black Tree | Set 3 (Delete)
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- Red-Black Trees | Top-Down Insertion
- AVL Tree | Set 1 (Insertion)
- AVL Tree | Set 2 (Deletion)
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- Minimum number of nodes in an AVL Tree with given height
- Optimal sequence for AVL tree insertion (without any rotations)
- AVL with duplicate keys
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