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.
Question
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.
Solution
A weight balanced tree and a height balanced tree differ in their balancing criteria in the following ways:
a) A weight balanced tree focuses on the total number of nodes in the tree. This means that it tries to distribute the nodes in the tree as evenly as possible. This is different from a height balanced tree, which does not consider the total number of nodes in its balancing criteria.
b) A height balanced tree minimizes the absolute difference in height between subtrees. This means that it tries to keep the heights of the left and right subtrees of every node as close as possible. This is different from a weight balanced tree, which does not consider the height difference between subtrees in its balancing criteria.
c) A weight balanced tree does not consider the weight of the edges in the tree. The weight of an edge in a tree is typically not a factor in tree balancing. Both weight balanced trees and height balanced trees typically do not consider edge weights in their balancing criteria.
d) Neither a weight balanced tree nor a height balanced tree aims to maximize the height of the tree. In fact, both types of trees aim to minimize the height of the tree as much as possible, as a lower height generally leads to more efficient tree operations.
Similar Questions
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
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
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)depth ratiob)weight balance factorc)constant factord)rotation factor
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
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