Aug 20, 2017

Design a simple 2-approximation algorithm for finding a minimum vertex cover (a vertex cover with the smallest number of vertices) in a given graph.

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a. Design a simple 2-approximation algorithm for finding a minimum vertex cover (a vertex cover with the smallest number of vertices) in a given graph.

b. Consider the following approximation algorithm for finding a maximum independent set (an independent set with the largest number of vertices) in a given graph. Apply the 2-approximation algorithm of part (a) and output all the vertices that are not in the obtained vertex cover. Can we claim that this algorithm is a 2-approximation algorithm, too?


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