Explain why a balanced search tree is better than a generic BST. Keep your discussion rigorous, comparing the efficiency of balanced and unbalanced trees in terms of asymptotic efficiency classes. Be sure to include the best and worst search efficiency. Is there a way to quantify performance as it relates to exactly how balanced or unbalanced the tree becomes? In other words, if I tell you a tree is unbalanced by a certain amount, can you tell me exactly what the search performance will be? Explain using drawings or diagrams.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Explain why a balanced search tree is better than a generic BST. Keep your discussion rigorous, comparing the efficiency of balanced and unbalanced trees in terms of asymptotic efficiency classes. Be sure to include the best and worst search efficiency. Is there a way to quantify performance as it relates to exactly how balanced or unbalanced the tree becomes? In other words, if I tell you a tree is unbalanced by a certain amount, can you tell me exactly what the search performance will be? Explain using drawings or diagrams.

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