Computers and Technology, 11.04.2020 02:42, cailinhannon4828

The set of full binary trees can be de ned recursively: (a) The tree with only one vertex is a full binary tree. (b) If T1 and T2 are two disjoint full binary trees, there is a full binary tree, denoted as T1 T2, with T1 as its left subtree, T2 as its right subtree, and a new root r connecting to T1 and T2. Use structural induction to prove that the number of leaves is one more than the number of internal vertices in a full binary tree.

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The set of full binary trees can be de ned recursively: (a) The tree with only one vertex is a full...