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

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 Urtree is obtained from two disjoint UX-1 trees by attaching the root of one to the root of the other. (a) Show the following characterization of an U tree. Suppose a given Un tree for some k is rooted at r and has handle v. Then, i. there are disjoint trees U, U,...,UK - not containing r, with roots, 2,...,-1, respectively, ii. Un is obtained by attaching each tor for 0

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