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 33.3, Problem 4E
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An undirected graph G = (V, E) is called “k-colorable” if there exists a way to color the nodes withk colors such that no pair of adjacent nodes are assigned the same color. I.e. G is k-colorable iff there existsa k-coloring χ : V → {1, . . . , k}, such that for all (u, v) ∈ E, χ(u) ̸= χ(v) (the function χ is called a properk-coloring). The “k-colorable problem” is the problem of determining whether an input graph G = (V, E) isk-colorable. Prove that the 3-colorable problem ≤P the 4-colorable problem.
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Chapter 33 Solutions
Introduction to Algorithms
Ch. 33.1 - Prob. 1ECh. 33.1 - Prob. 2ECh. 33.1 - Prob. 3ECh. 33.1 - Prob. 4ECh. 33.1 - Prob. 5ECh. 33.1 - Prob. 6ECh. 33.1 - Prob. 7ECh. 33.1 - Prob. 8ECh. 33.2 - Prob. 1ECh. 33.2 - Prob. 2E
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