Online Dictionary Structures:Discussion

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Discussion

On average the triebst approach requires less space to represent the d-tuples than our structures. However; multidimensional balanced binary search trees have simple procedures take only O(d+log n) time, and only a constant number of rotations are required after each insert and delete operations. Furthermore, operations like find the (lexicographically) smallest or largest d-tuple (O(log n) time), print in lexicographic order (O(dn) time), concatenation (O(d + log n) time), and split (O(d + log n) time) can also be performed efficiently in this new structure. This approach can also be used in other balanced binary search trees, like AVL, weight balanced, etc.

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