Question: Consider the following algorithm VCApprox2 for VERTEX-COVER, which looks strikingly similar to VCApprox (a) Compare the approximation ratios of Greedy-Balance and Sorted-Balance. (b) Compare the

Consider the following algorithm VCApprox2 for VERTEX-COVER, which looks strikingly similar to VCApprox

Consider the following algorithm VCApprox2 for

(a) Compare the approximation ratios of Greedy-Balance and Sorted-Balance. (b) Compare the time complexity of Greedy-Balance and Sorted-Balance. (c) Can you think of an instance where the solution produced by Sorted-Balance is exactly 1.5x the optimal solution? If not, why? (5) Reference material: Graham, Bounds On Multiprocessing Timing Anomalies, Siam J. Appl Math, Vol 17, No. 2, 1969

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