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Prove that redblack trees are balanced by induction method.pdf

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Prove that red-black trees are balanced by induction method. Let T be a red-black tree (a) Prove that on any path from the root to an external node in T, at least half of the nodes are black by (b) Use (a) to show that the longest path from the root to an external node is less than twice as long as the shortest path from the root to an external node.

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