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Red-Black Trees Definition

Definition: A Binary Tree, Satisfying:

  1. Every node is actually red or black
  2. The root is black
  3. Every leaf is NIL and is black
  4. If a node is red, then both its children are black
  5. For each node, all paths from the node to descendant leaves contain the same number of black nodes.

A Red-Black Tree can also be defined as a binary search tree that satisfies the following properties:

  • Root Property:The root is black
  • External Property:Every leaf is black
  • Internal Property:The children of a red node are black
  • Depth Property:All the leaves have the same black depth
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Definition: a binary tree, satisfying

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