Question
In a B+ tree, the requirement of at least half-full (50%) node occupancy is relaxed for which one of the following cases?
Official answer and solution
- Official answer
- A
- From
- Official GATE 2024 answer key
Solution
Recall the B+ tree node occupancy invariant for the root node versus internal and leaf nodes.
In a B+ tree of order , every non-root internal node and every non-root leaf node must remain at least half full ( children or keys) to guarantee logarithmic height. This minimum occupancy requirement is relaxed only for the root node, which is allowed to have as few as search key ( child pointers) when it is not a leaf.
Option (A)
The answer is the one in the official GATE answer key. The solution is this site's own explanation.
Source
- Paper
- GATE 2024 Computer Science and Information Technology - Set 1 (CS1)
- Question
- 21 of 65
- Section
- Computer Science and Information Technology
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