Question: Exercise 4 ( 6 points ) For each of the following statements indicate whether it is true, false, or unknown. 1 . There is a

Exercise 4(6 points)
For each of the following statements indicate whether it is true, false, or unknown.
1. There is a 0.5-approximation algorithm for MIN VERTEX COVER.
2. There is a 1-approximation algorithm for MIN VERTEX COVER.
3. There is a 2-approximation algorithm for MIN VERTEX COVER.
4. There is a 1.5-approximation algorithm for \( k \)-CENTER.
5. The approximation algorithm for MIN VERTEX COVER described in the slides never returns an optimal solution.
6. The approximation algorithm for MIN SET COVER described in the slides always returns an optimal solution.
Exercise 4 ( 6 points ) For each of the following

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