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Comparison of operation time between multiple interval tree data structures.
| IT0 | IT1 | IT2 | IT2′ | |
|---|---|---|---|---|
| Allen’s interval algebra queries | O(log2 n + k) for o, oi and d | NA | NA | O(log n + k) |
| Stabbing-max query | NA | O(log n) | O(log n) | NA |
| Insertion | O(log n) | O(log n)* | O(log n)* | O(log n)* |
| Deletion | O(log n) | O(log n log log n)* | O(log n)* | O(log n)* |
Note:
Amortized time.
