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In a binary search tree, which property holds true for any node?
- a)The value of the left child is greater than the value of the node.
- b)The value of the right child is greater than the value of the node.
- c)The value of the left child is less than the value of the node.
- d)The value of the right child is less than the value of the node.
Correct answer is option 'B'. Can you explain this answer?
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In a binary search tree, which property holds true for any node?a)The ...
Binary Search Tree (BST)
A binary search tree is a data structure in which each node has at most two children, referred to as the left child and the right child. The binary search tree follows a specific property that helps in efficient searching and sorting of data.
Property of Binary Search Tree
The property that holds true for any node in a binary search tree is that the value of the right child is greater than the value of the node. This property is known as the Binary Search Tree Property or the Binary Search Property.
Explanation
To understand why the value of the right child is greater than the value of the node, let's consider the following example:
Suppose we have the following binary search tree:
```
5
/ \
3 7
/ \ / \
2 4 6 8
```
In this binary search tree, every node follows the binary search tree property. For example, for the node with value 5, the value of its left child (3) is less than 5, and the value of its right child (7) is greater than 5.
If we consider any other node in the binary search tree, we can observe that the value of its left child is always less than the value of the node, and the value of its right child is always greater than the value of the node. This property holds true for all nodes in the binary search tree.
Importance of the Binary Search Tree Property
The binary search tree property is essential for efficient searching and sorting of data. It allows us to perform binary search operations, such as finding a specific value or determining the order of elements, in an optimized manner.
By following the binary search tree property, we can eliminate half of the search space at each step of the search process, leading to a logarithmic time complexity for operations like search, insert, and delete.
Therefore, option 'B' is the correct answer as it accurately represents the property of a binary search tree where the value of the right child is greater than the value of the node.
A binary search tree is a data structure in which each node has at most two children, referred to as the left child and the right child. The binary search tree follows a specific property that helps in efficient searching and sorting of data.
Property of Binary Search Tree
The property that holds true for any node in a binary search tree is that the value of the right child is greater than the value of the node. This property is known as the Binary Search Tree Property or the Binary Search Property.
Explanation
To understand why the value of the right child is greater than the value of the node, let's consider the following example:
Suppose we have the following binary search tree:
```
5
/ \
3 7
/ \ / \
2 4 6 8
```
In this binary search tree, every node follows the binary search tree property. For example, for the node with value 5, the value of its left child (3) is less than 5, and the value of its right child (7) is greater than 5.
If we consider any other node in the binary search tree, we can observe that the value of its left child is always less than the value of the node, and the value of its right child is always greater than the value of the node. This property holds true for all nodes in the binary search tree.
Importance of the Binary Search Tree Property
The binary search tree property is essential for efficient searching and sorting of data. It allows us to perform binary search operations, such as finding a specific value or determining the order of elements, in an optimized manner.
By following the binary search tree property, we can eliminate half of the search space at each step of the search process, leading to a logarithmic time complexity for operations like search, insert, and delete.
Therefore, option 'B' is the correct answer as it accurately represents the property of a binary search tree where the value of the right child is greater than the value of the node.
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In a binary search tree, which property holds true for any node?a)The ...
In a binary search tree, the value of the right child is greater than the value of the node, while the value of the left child is less than the value of the node.
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In a binary search tree, which property holds true for any node?a)The value of the left child is greater than the value of the node.b)The value of the right child is greater than the value of the node.c)The value of the left child is less than the value of the node.d)The value of the right child is less than the value of the node.Correct answer is option 'B'. Can you explain this answer?
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