Question: Prove that any tree with n nodes has n 1 edges. Hint: to get a smaller subproblem, remove a leaf node, i . e .

Prove that any tree with n nodes has n 1 edges. Hint: to get a smaller subproblem, remove a leaf node, i.e. a degree 1 node, from the tree. To prove that any tree has a leaf node, note that trees do not have cycles and consider a path that starts at the root node.

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