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BST operations are linear if balanced and logarithmic if degenerate. The average case for BSTS is determined similarly to the average case for quick sort. The internal path length is used to measure the cost of a successful search, while the external path length is used for an unsuccessful search. Adding self-balancing to trees results in slower add/remove operations, but guaranteed linear depth in the worst case.

BST operations are linear if balanced and logarithmic if degenerate. The average case for BSTS is determined similarly to the average case for quick sort. The internal path length is used to measure the cost of a successful search, while the external path length is used for an unsuccessful search. Adding self-balancing to trees results in slower add/remove operations, but guaranteed linear depth in the worst case.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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BST operations are linear if balanced and logarithmic if degenerate. The average case for BSTS is determined similarly to the average case for quick sort. The internal path length is used to measure the cost of a successful search, while the external path length is used for an unsuccessful search. Adding self-balancing to trees results in slower add/remove operations, but guaranteed linear depth in the worst case. An AVL requires that the heights of two subtrees for a given node differ by no more than 2 (and an empty tree has a hight of 0).
Transcribed Image Text:BST operations are linear if balanced and logarithmic if degenerate. The average case for BSTS is determined similarly to the average case for quick sort. The internal path length is used to measure the cost of a successful search, while the external path length is used for an unsuccessful search. Adding self-balancing to trees results in slower add/remove operations, but guaranteed linear depth in the worst case. An AVL requires that the heights of two subtrees for a given node differ by no more than 2 (and an empty tree has a hight of 0).
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