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 21, Problem 2P

(a)

Program Plan Intro

To show the worse-case running time of a sequence of m MAKE-TREE,FIND-DEPTH and GRAFT operations in Θ(m2) .

(b)

Program Plan Intro

To give an algorithm for MAKE-TREE.

(c)

Program Plan Intro

To explain the modifications of FIND-SET to implement FIND-DEPTH.

(d)

Program Plan Intro

To give theimplementation algorithm of GRAFTY to combines the sets containing r and v by modifying the UNION and LINK procedures.

(e)

Program Plan Intro

To give a tight bound on the worse-case running time of sequence of m MAKE-TREE, FIND-DEPTH and GRAFT operations.

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