RedBlackTrees

This page dives into a data structure -> RedBlackTrees

RedBlackTree

Information for RedBlackTree

  1. Algorithm Validation Rules
    • Verify BST order (inorder traversal is sorted).
    • Check root color = black.
    • Ensure no red node has red children.
    • Ensure consistent black-height across all paths.

  2. Algorithm Features
    • Self-balancing BST that maintains balance using colors and rotations.
    • Each node is red or black, with rules ensuring structure balance.
    • Height remains O(log n) — longest path ≤ 2 times shortest path.
    • No two red nodes appear consecutively.
    • Requires only 1 extra bit per node for color — memory efficient.
  3. RedblackTree Key Tips
    • Root is always black.
    • New nodes are inserted red.
    • Fix red - red violations using rotations and recoloring.
    • Null leaves are black to maintain black-height balance.
    • All paths have the same black-height.
    • Check BST property before color properties.
    • Insertion is easier; deletion needs care.