Comparing Leaf and Root Insertion

Comparing Leaf and Root Insertion

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We consider two ways of inserting a key into a chicago skyline graffiti binary search tree: leaf insertion which is the standard method, and root insertion which involves additional rotations.Although the respective cost of constructing leaf and root insertion binary search trees trees, in terms of comparisons, are the same in the average case, we show that in the worst case mz7lh3t8hmlt the construction of a root insertion binary search tree needs approximately 50% of the number of comparisons required by leaf insertion.