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
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Chapter 13, Problem 2P

(a)

Program Plan Intro

To argue that the RB-INSERT and RB-DELETE can maintain the bh attribute without requiring extra storage or without increasing the running time of the execution.

(b)

Program Plan Intro

To describe an algorithm that finds a black node y in T1 with the largest key from black height in T2.bh .

(c)

Program Plan Intro

To describe how Ty{x}T2 can replace Ty in O(1) time without destroying the binary-search-tree property.

(d)

Program Plan Intro

To explain theenforce properties 2 and 4 in O(lgn) time and also describe the color followed by property 1, 3 and 5.

(e)

Program Plan Intro

To argue that no generality is lost by making the assumption in part b and describe the symmetric situation that arises T1.bhT2.bh .

(f)

Program Plan Intro

To argue the running time of RB-JOIN is O(lgn) .

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