Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
Question
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Chapter 17, Problem 4P

(a)

Program Plan Intro

To describe a legal red-black tree with n-nodes such that calling RB-INSERT to add the (n+1) node causes Ω(lgn)

(b)

Program Plan Intro

To explain which fixed-up of RB tree algorithm is terminating and which are not.

(c)

Program Plan Intro

To argue the statement Φ(T')=Φ(T)1 is obtained by applying RB-INSERT-FIXUP to T .

(d)

Program Plan Intro

To explain the structural modifications and potential changes resulting from RB-INSERT from nonterminating cases of RB-INSERT-FIXED.

(e)

Program Plan Intro

To argue that the amortized number of structural modifications performed by any call of RB-INSERT is O(1) .

(f)

Program Plan Intro

To showthat the statement follow Φ(T')Φ(T)1 for all nonterminating cases of RB-INSERT-FIXUP.

(g)

Program Plan Intro

To argue that the amortized number of modifications performed by any call of RB-DELETE-FIXUP is O(1) .

(h)

Program Plan Intro

To show that any sequence of m RB-INSERT and RB-DELETE operations performed O(m) structural modifications.

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