Practice Notions Of Balance (17.1.2) - Balanced Search Trees - Design & Analysis of Algorithms - Vol 2

Practice: Notions of Balance

Lesson 17.1.2Balanced Search Trees

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a balanced search tree.
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Think about what balanced means in terms of tree height.
Question 2.
What is the key property of AVL trees?
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Consider what the abbreviation 'AVL' stands for.
3Question 3.
What defines an AVL tree?
- A complete binary tree
- A height-balanced binary tree
- A linear tree structure
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Remember the property of height differences in AVL trees.
4Question 4.
True or False: The maximum height difference allowed in AVL trees is 2.
- True
- False
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Recall the definition of height balance in AVL trees.
Question 5.
Design an AVL tree and perform a series of insertions and deletions, showing how you handle rebalancing each time. Provide both the initial tree and the final balanced tree.
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Keep track of the height differences and slopes for balance restoration.
Question 6.
Given a sequence of numbers to insert into an AVL tree, make predictions about the shape of the tree with each insertion. Describe the reasoning behind expected rotations.
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Think about how each number affects the height of subtrees.

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