Suppose that T is an Sk.-tree with handle v. Show that T

Chapter , Problem 21E

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Problem 21E

Suppose that T is an Sk.-tree with handle v. Show that T can be obtained from disjoint trees T0, T1,…,Tk−1, with roots r0,r1,…. rk−1, respectively, where v is not in any of these trees, where Ti is an Si -tree for i = 0. 1 k – 1. by connecting v to r0 and ri to ri + 1 fori = 0, 1,…, k − 2.

The listing of the vertices of an ordered rooted tree in level order begins with the root, followed by the vertices at level 1 from left to right, followed by the vertices at level 2 from left to right, and so on.

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