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
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 such a way that each subtree has approximately the same number of nodes. 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 equal as possible. This is different from a weight balanced tree, which does not consider the height of the 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 is not a factor in the balancing criteria of either a weight balanced tree or a height balanced tree.
d) Neither a weight balanced tree nor a height balanced tree tries to maximize the height of the tree. In fact, both types of trees try to minimize the height of the tree to ensure that operations such as insertion, deletion, and search can be performed efficiently.
Similar Questions
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.
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.a)rotation factorb)constant factorc)weight balance factord)depth ratio
In a weight-balanced tree, a new node with a large weight is inserted as the right child of a node with a small weight.How might the tree adapt to maintain balance, and what rotation operation is likely to be involved?a)No action is needed.b)The left subtree's weight increases; left rotation is performed.c)The right subtree's weight increases; right rotation is performed.d)The left subtree's weight decreases; double rotation is performed.
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