Suppose node i is removed from a max heap. We can't just remove it because we will no longer have a tree. Instead the standard approach is to swap it with the ending node, delete the ending node, and then run maxheapify to clean up node i. On which nodes will it be necessary to run maxheapify and under which conditions? What is the O worst-case time complexity of this process?

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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Suppose node i is removed from a max heap. We can't just remove it because we will no
longer have a tree. Instead the standard approach is to swap it with the ending node, delete
the ending node, and then run maxheapify to clean up node i. On which nodes will it be
necessary to run maxheapify and under which conditions? What is the O worst-case time
complexity of this process?
Transcribed Image Text:Suppose node i is removed from a max heap. We can't just remove it because we will no longer have a tree. Instead the standard approach is to swap it with the ending node, delete the ending node, and then run maxheapify to clean up node i. On which nodes will it be necessary to run maxheapify and under which conditions? What is the O worst-case time complexity of this process?
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