What Does It Mean for a Binary Search Tree to Be Full?

Learn the definition of a full Binary Search Tree (BST) and its implications for tree structure and operations.

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For a Binary Search Tree (BST) to be full, every node must have either 0 or 2 children; no node should have exactly one child. This definition ensures the BST is a strict binary tree, optimizing certain operations and making the structure more predictable.

FAQs & Answers

  1. What is a Binary Search Tree? A Binary Search Tree (BST) is a data structure that allows efficient searching, insertion, and deletion operations by maintaining a sorted order.
  2. What are the properties of a full BST? In a full BST, every node has either 0 or 2 children, ensuring that the tree is balanced and predictable in structure.
  3. How does a full BST differ from a complete BST? While a full BST requires nodes to have 0 or 2 children, a complete BST is fully filled except for the last level, which is filled from left to right.