It is NP-complete to determine whether an arbitrary graph has chromatic number k, where k >= 3. However, determining whether an arbitrary graph has chromatic number 2 is in P. Given a graph G on n vertices, create an algorithm that will return TRUE if χ(G) = 2 and FALSE if χ(G) ≠ 2. Clearly explain how your algorithm works, why it guarantees the correct output, and determine the running time of your algorithm.
It is NP-complete to determine whether an arbitrary graph has chromatic number k, where k >= 3. However, determining whether an arbitrary graph has chromatic number 2 is in P. Given a graph G on n vertices, create an algorithm that will return TRUE if χ(G) = 2 and FALSE if χ(G) ≠ 2. Clearly explain how your algorithm works, why it guarantees the correct output, and determine the running time of your algorithm.
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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It is NP-complete to determine whether an arbitrary graph has chromatic number k, where k >= 3.
However, determining whether an arbitrary graph has chromatic number 2 is in P.
Given a graph G on n vertices, create an
FALSE if χ(G) ≠ 2. Clearly explain how your algorithm works, why it guarantees the correct
output, and determine the running time of your algorithm.
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