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Full and Complete Binary Trees Binary Tree Theorems 1

CS@VT Data Structures & Algorithms ©2000-2009 McQuain Proof of Full Binary Tree Theorem proof of (a):We will use induction on the number of internal nodes, I. Let S be the set of all integers I 0 such that if T is a full binary tree with I internal nodes then T has I + 1 leaf nodes.

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