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a. Explain how to prove that a problem is NP-Complete based on reduction from a known NP-Complete problem. b. An independent set of a graph G = (V, E) is a subset V’  V of vertices such that each edge in E is incident on at most one vertex in V’. The independent-set problem is to find a maximum-size independent set in G. Formulate a related decision problem. c. Prove that this decision problem is NP-complete. (Hint: Reduce from the clique problem or from the vertex cover problem.)

a. Explain how to prove that a problem is NP-Complete based on reduction from a known NP-Complete problem. b. An independent set of a graph G = (V, E) is a subset V’  V of vertices such that each edge in E is incident on at most one vertex in V’. The independent-set problem is to find a maximum-size independent set in G. Formulate a related decision problem. c. Prove that this decision problem is NP-complete. (Hint: Reduce from the clique problem or from the vertex cover problem.)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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a. Explain how to prove that a problem is NP-Complete based on
reduction from a known NP-Complete problem.
b. An independent set of a graph G = (V, E) is a subset V’  V of vertices
such that each edge in E is incident on at most one vertex in V’. The
independent-set problem is to find a maximum-size independent set in G.
Formulate a related decision problem.
c. Prove that this decision problem is NP-complete. (Hint: Reduce from
the clique problem or from the vertex cover problem.) 

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