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 6P

a.

Program Plan Intro

To give an example of a graph with at least4 vertices for which set of maximum weight edges SG is equal to the maximum weight spanning tree TG of graph G.

b.

Program Plan Intro

To give an example of a graph with at least4 vertices for which set of maximum weight edges SG is not equal to the maximum weight spanning tree TG of graph G.

c.

Program Plan Intro

To prove that SGTG for any graph G.

d.

Program Plan Intro

To prove that w(SG)w(TG)/2 for any graph G.

e.

Program Plan Intro

To give an O(V+E) -time algorithm to compute a 2-approximation to the maximum spanning tree.

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