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 3P
Program Plan Intro

To show how to generalize the set covering problem so that each set s1in the family F to provide an approximate solution for any instance of the weighted set-covering problem.

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Suppose we have the following sets: P, Q, and R. Prove or disprove that if for all x, (x ∈ P) → ((x ∈ Q) → (x ∈ R)), then P ⋂ Q ⊆ R
2. Consider the given sets A and B. Show a possible bijection for the function f, where f: A-B, and define f for that bijection. a. A= {1, 2, 3, 4, ..., 10} and B = {2, 5, 10, 17, ...,101} •••. 3 b. A= {0, 1}° and B = {1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111}
· Tonsider a set S of 4 elements. Prove that we can choose any two subsets óf S of size 3, say A and B, and construct a matroid M = (S, 1) such that A and B are the only maximum independent sets in M.
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