Question: 1. Recall the unordered binomial tree, UK: U is a tree with one node. For k >0, a U tree is obtained from two disjoint

1. Recall the unordered binomial tree, UK: U is a tree

1. Recall the unordered binomial tree, UK: U is a tree with one node. For k >0, a U tree is obtained from two disjoint UX-1 trees by attaching the root of one to the root of the other. Please prove that. given a UK tree for some k. there is a unique node at depth k. We let the root be at depth 0 and call the node at depth k the handle of the Uk tree. Please refer to Figure 1. . Figure 1: Decomposition of the tree

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