In a height-balanced tree, what is the minimum height of a leaf node?a)It depends on the number of elements in the tree.b)1c)-1d)0
Question
In a height-balanced tree, what is the minimum height of a leaf node?a)It depends on the number of elements in the tree.b)1c)-1d)0
Solution
The minimum height of a leaf node in a height-balanced tree is 0. So, the correct answer is d) 0.
Here's why:
In computer science, the height of a node in a tree is the number of edges on the longest downward path between that node and a leaf. By definition, the height of a leaf node is always 0 because there are no further downward paths from a leaf.
A height-balanced tree, also known as an AVL tree, is a type of binary search tree where for every node, the heights of the left and right subtrees differ by at most one. This property doesn't change the fact that the height of a leaf node is 0.
Similar Questions
What does the absolute difference of height between left and right subtrees indicate in a height balanced tree?a)Balance of the treeb)Maximum height of the treec)Total number of nodes in the treed)Minimum height of the tree
What is the maximum height of a balanced AVL tree with 15 nodes?a)5b)3c)6d)4
What is the primary criterion for balancing in a Height Balanced Tree?a)The weight of the subtreesb)The weight on the edges of the treec)The total number of nodes in the treed)The difference in height between left and right subtrees
In a balanced binary tree, the heights of the left and right subtrees of any node differ by at most:Group of answer choices3102
What are the maximum and minimum heights of a tree with 28 nodes?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.