Mastering Balanced Binary Trees
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Questions and Answers

According to the text, balanced binary search trees provide O(log n) time for search, insert, and delete operations. Which of the following is an example of a balanced binary search tree?

  • Binary heap
  • Hash table
  • Linked list
  • AVL tree (correct)
  • According to the text, a balanced binary tree is a binary tree in which the difference between the height of the left and the right subtree for each node is either 0 or 1. Which of the following statements is true about a balanced binary tree?

  • Every single node is always balanced. (correct)
  • The difference between the heights of the left and right subtrees is always 0.
  • The difference between the heights of the left and right subtrees can be any value.
  • The difference between the heights of the left and right subtrees is always 1.
  • According to the text, a binary tree is considered balanced if the height of the tree is O(Log n), where n is the number of nodes. Which of the following trees maintains O(Log n) height by ensuring that the difference between the heights of the left and right subtrees is at most 1?

  • Binary Search tree
  • B-Tree
  • AVL tree (correct)
  • Red-Black tree
  • According to the text, which type of binary tree is also referred to as a height-balanced binary tree?

    <p>A binary tree with a single node</p> Signup and view all the answers

    According to the text, which type of binary tree is unbalanced in the given figure above?

    <p>The root node with a value 0</p> Signup and view all the answers

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