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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).

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).

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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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). Only nodes on the path from root to the insertion point can have their balance affected for insertion into an AVL. We always start with the imbalance closest to the root when fixing an AVL.
Transcribed Image Text: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). Only nodes on the path from root to the insertion point can have their balance affected for insertion into an AVL. We always start with the imbalance closest to the root when fixing an AVL.
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