The complexity of low-distortion embeddings between point sets

  • Authors:
  • Christos Papadimitriou;Shmuel Safra

  • Affiliations:
  • UC Berkeley, CA;UC Berkeley, CA

  • Venue:
  • SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2005

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Abstract

We prove that it is NP-hard to approximate by a ratio better than 3 the minimum distortion of a bijection between two given finite three-dimensional sets of points.