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Show that preorder traversals of the two ordered rooted trees displayed below produce the same list of vertices. Note that this does not contradict the statement in Exercise 26, because the numbers of...

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Show that preorder traversals of the two ordered rooted trees displayed below produce the same list of vertices. Note that this does not contradict the statement in Exercise 26, because the numbers of children of internal vertices in the two ordered rooted trees differ.

Exercise 26. Show that an ordered rooted tree is uniquely determined when a list of vertices generated by a preorder traversal of the tree and the number of children of each vertex are specified.

Answered Same Day Dec 29, 2021

Solution

David answered on Dec 29 2021
116 Votes
We shall show that preorder traversals of the two ordered rooted trees given produce the same list of
vertices:
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