Question: Define size and height (see Exercise 8.10) for rooted ternery trees (RTT) and rooted trees (RT). (a) Prove: For any rooted ternary tree (RTT)

Define size and height (see Exercise 8.10) for rooted ternery trees (RTT)

Define size and height (see Exercise 8.10) for rooted ternery trees (RTT) and rooted trees (RT). (a) Prove: For any rooted ternary tree (RTT) 7, size(7) (3height(7)+1-1)/3. Find such a bound for the size of a rooted tree (RT) in terms of its height or explain why there isn't one. (b) Prove: For any rooted ternary tree (RTT), size(7) height(7) + 1. Find such a bound for the size of a rooted tree (RT) in terms of its height or explain why there isn't one. (c) Prove: For any rooted full ternary tree (RFTT), size(7) 23 x height(7) +1.

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