Find a red-black tree that is not an AVL tree

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Reference no: EM131851225

Problem

1. Find a red-black tree that is not an AVL tree.

2. Prove that any AVL tree can have its nodes colored so as to make it a red-black tree. You may find it easier to prove the following stronger statement: An AVL tree of height h can have its nodes colored as a red-black tree with exactly dh/2e black nodes on each path to an empty subtree, and, if h is odd, then both children of the root are black.

Reference no: EM131851225

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