Web Reference: Divide and Conquer: General method, binary search, merge sort, Quick sort, selection sort, Strassen’s matrix multiplication algorithms and analysis of algorithms for these problems. The results derived for this auxiliary problem then constitute the main ingredients for the on-line approximation algorithm for vector covering as described in Section 4. Develop algorithms which find near-optimal solutions in polynomial-time. We will call these approximation algorithms. This covers both maximization and minimization problems. For many problems: tradeoff between runtime and approximation ratio.
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