b A full tertiary tree is a tree where every node is either a leaf or an internal node with three children. An example of a full tertiary tree is given in the figure. Prove the following using structural induction: Claim: The number of leaves in a full tertiary tree with n >1 nodes is 3 2(n-1) + 1.

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b A full tertiary tree is a tree where every node is either a leaf or an internal node with three children. An
example of a full tertiary tree is given in the figure.
Prove the following using structural induction:
Claim: The number of leaves in a full tertiary tree with n >1 nodes is 2 +1.
2(n-1)
Transcribed Image Text:b A full tertiary tree is a tree where every node is either a leaf or an internal node with three children. An example of a full tertiary tree is given in the figure. Prove the following using structural induction: Claim: The number of leaves in a full tertiary tree with n >1 nodes is 2 +1. 2(n-1)
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