Question: Prove that Independent Set (Problem 13.12) is in NP. Problem 13.12: Problem 13.12 Independent set An independent set is a subset / of vertices in

Prove that Independent Set (Problem 13.12) is in NP.

Problem 13.12:

Prove that Independent Set (Problem 13.12) is in NP. Problem 13.12: Problem

Problem 13.12 Independent set An independent set is a subset / of vertices in an undirected graph G such that no pair of vertices in 1 is joined by an edge of G Optimization Problem: Given an undirected graph G, find an independent set with as many vertices as possible. Decision Problem: Given an undirected graph G and an integer k, does G have an independent set consisting of k vertices? The three problems, vertex cover, clique, and independent set, are closely related, as suggested by Figure 13.5. Vertex cover Independent set Clique Figure 13.5 Examples for vertex cover, independent set, and clique

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