In a binary search tree, the left child of a node contains a value less than or equalto the node's value.*1 pointTRUEFALSE
Question
In a binary search tree, the left child of a node contains a value less than or equal to the node's value.
1 point
TRUE
FALSE
Solution
Answer
The statement "In a binary search tree, the left child of a node contains a value less than or equal to the node's value" is TRUE.
Explanation
In a binary search tree (BST), the property of the tree ensures that for any given node:
- The values in the left subtree (including the left child) are always less than or equal to the value of the node.
- Conversely, the values in the right subtree are always greater than the node's value.
This property allows for efficient searching, insertion, and deletion operations, as it establishes a clear ordering of the values within the tree structure, enabling a logarithmic time complexity for these operations in the average case.
Thus, the statement accurately describes the fundamental characteristic of the left child in a binary search tree.
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