What is the primary criterion for balancing in a Height Balanced Tree?a)The weight on the edges of the treeb)The difference in height between left and right subtreesc)The total number of nodes in the treed)The weight of the subtrees
Question
What is the primary criterion for balancing in a Height Balanced Tree?a)The weight on the edges of the treeb)The difference in height between left and right subtreesc)The total number of nodes in the treed)The weight of the subtrees
Solution
The primary criterion for balancing in a Height Balanced Tree is b) The difference in height between left and right subtrees.
A Height Balanced Tree, also known as an AVL tree, is a type of binary search tree where for every node in the tree, the difference in the height of the left and right subtrees is at most one. This balance is maintained to ensure that the tree remains approximately balanced, leading to O(log n) search times. If this condition is not met, rotations are performed to bring the tree back into balance.
Similar Questions
23456789101.How does a weight balanced tree differ from a height balanced tree in terms of balancing criterion?a)It focuses on the total number of nodes in the tree.b)It minimizes the absolute difference in height between subtrees.c)It considers the weight of the edges in the tree.d)It maximizes the height of the tree.
The weight balance criterion in a weight-balanced tree ensures a proportional relationship between the weight of a subtree and the _____ of the subtree.a)depthb)widthc)valued)height
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
In a weight-balanced tree, the _____ of a node is defined as the number of nodes in its left subtree divided by the number of nodes in its right subtree.
In a weight-balanced tree, the _____ of a node is defined as the number of nodes in its left subtree divided by the number of nodes in its right subtree.a)rotation factorb)constant factorc)weight balance factord)depth ratio
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