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 35, Problem 4P

a.

Program Plan Intro

To show that a maximal matching need not be a maximum matching by drawing an undirected graph G.

b.

Program Plan Intro

To show that the linear-time greedy algorithm for maximal matching is a 2-approximation algorithm for maximum matching.

c.

Program Plan Intro

To show that the size of a maximum matching in G is a lower bound on the size of any vertex cover for G.

d.

Program Plan Intro

To prove that the number of bins used by the first-fit heuristic is never more than 2S .

e.

Program Plan Intro

To prove an approximation ratio of 2 for the first-fit heuristic.

f.

Program Plan Intro

To give an efficient implementation of the first-fit heuristic, and analyze its running time.

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