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 34, Problem 3P

a.

Program Plan Intro

To give an efficient algorithm to determine a 2-coloring of a graph, if one exists.

b.

Program Plan Intro

To cast the graph coloring as a decision problem and to show that decision problem is solvable in polynomial time.

c.

Program Plan Intro

To show that 3-COLOR is NP-complete.

d.

Program Plan Intro

To argue that in any 3-coloring c of a graph containing the literal edges, exactly one of a variable and its negation is colored.

e.

Program Plan Intro

To argue that if each of x, y and z is colored true or false then the 3-widget is 3-colorable.

f.

Program Plan Intro

To complete the proof that 3-COLOR is NP-complete.

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