Why it matters

AVL trees guarantee O(log n) balance. Foundation of memory-based sorted structures.

Advertisement

The architecture

Balance factor per node.

Single/double rotations.

O(log n) all ops.

AVL tree operationsBalance factor-1, 0, 1Rotationssingle or doubleHeightO(log n) guaranteedAdelson-Velsky and Landis 1962; stricter balance than red-black; more rotations
AVL tree operations.
Advertisement

How it works end to end

Adelson-Velsky-Landis 1962.

Rotations on insert/delete.

Strict height balance.