Generalizing a Theorem of Wilber on Rotations in Binary Search Trees to Encompass Unordered Binary Trees

Generalizing a Theorem of Wilber on Rotations in Binary Search Trees to Encompass Unordered Binary Trees

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Article ID: iaor2012416
Volume: 62
Issue: 3
Start Page Number: 863
End Page Number: 878
Publication Date: Apr 2012
Journal: Algorithmica
Authors:
Keywords: search
Abstract:

Wilber’s logarithmic lower bound, concerning off‐line binary search tree access costs, is generalized to encompass binary trees that are not constrained to satisfy the search tree property. Rotation operations in this extended model can be preceded by subtree swaps. A separation between the power of processing with search trees versus unordered trees is demonstrated.

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