Computing minimum diameter color-spanning sets

  • Authors:
  • Rudolf Fleischer;Xiaoming Xu

  • Affiliations:
  • School of Computer Science and IIPL, Fudan University, Shanghai, China;School of Computer Science and IIPL, Fudan University, Shanghai, China

  • Venue:
  • FAW'10 Proceedings of the 4th international conference on Frontiers in algorithmics
  • Year:
  • 2010

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Abstract

We study the minimum diameter color-spanning set problem which has recently drawn some attention in the database community. We show that the problem can be solved in polynomial time for L1 and L∞ metrics, while it is NP-hard for all other Lp metrics even in two dimensions. However, we can efficiently compute a constant factor approximation.