Consider a B+-tree in which the maximum number of keys in a node is 5. What is the minimum number of keys in any non-root node?*2 points1234
Question
Consider a B+-tree in which the maximum number of keys in a node is 5. What is the minimum number of keys in any non-root node?
*2 points
1
2
3
4
Solution
To determine the minimum number of keys in any non-root node of a B+-tree with a maximum of 5 keys per node, we need to consider the properties of a B+-tree.
In a B+-tree, all non-root nodes must have at least ⌈(m+1)/2⌉ keys, where m is the maximum number of keys in a node. In this case, m is 5.
So, the minimum number of keys in any non-root node of this B+-tree would be ⌈(5+1)/2⌉, which is ⌈6/2⌉, equal to 3.
Therefore, the minimum number of keys in any non-root node of this B+-tree is 3.
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