Deletion procedure for red-black trees

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Reference no: EM13968362

1. Prove that the amortized cost of a top-down splay is O(log N).

2. Prove that there exist access sequences that require 2 log N rotations per access for bottom-up splaying. Show that a similar result holds for top-down splaying.

3. Modify the splay tree to support queries for the kth smallest item.

4. Compare, empirically, the simpli?ed top-down splay with the originally described top-down splay.

5. Write the deletion procedure for red-black trees.

Reference no: EM13968362

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