For each node v in a tree T, let pre(v) be the rank of v in a

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For each node v in a tree T, let pre(v) be the rank of v in a preorder traversal of T, let post(v) be the rank of v in a postorder traversal of T, let depth(v) be the depth of v, and let desc(v) be the number of descendents of v, not counting v itself. Derive a formula defining post(v) in terms of desc(v), depth(v), and pre(v), for each node v in T.

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Data Structures And Algorithms In C++

ISBN: 9780470383278

2nd Edition

Authors: Michael T. Goodrich, Roberto Tamassia, David M. Mount

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