A Derandomization Using Min-Wise Independent Permutations

  • Authors:
  • Andrei Z. Broder;Moses Charikar;Michael Mitzenmacher

  • Affiliations:
  • -;-;-

  • Venue:
  • RANDOM '98 Proceedings of the Second International Workshop on Randomization and Approximation Techniques in Computer Science
  • Year:
  • 1998

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Abstract

Min-wise independence is a recently introduced notion of limited independence, similar in spirit to pairwise independence. The later has proven essential for the derandomization of many algorithms. Here we show that approximate min-wise independence allows similar uses, by presenting a derandomization of the RNC algorithm for approximate set cover due to S. Rajagopalan and V. Vazirani. We also discuss how to derandomize their set multi-cover and multi-set multi-cover algorithms in restricted cases. The multi-cover case leads us to discuss the concept of k-minima-wise independence, a natural counterpart to k-wise independence.