Improved lower bounds for embeddings into L1

@inproceedings{Krauthgamer2006ImprovedLB,
  title={Improved lower bounds for embeddings into L1},
  author={Robert Krauthgamer and Yuval Rabani},
  booktitle={SODA},
  year={2006}
}
We simplify and improve upon recent lower bounds on the minimum distortion of embedding certain finite metric spaces into <i>l</i><inf>1</inf>. In particular, we show that for infinitely many values of <i>n</i> there are <i>n</i>-point metric spaces of negative type that require a distortion of Ω(log log <i>n</i>) for such an embedding, implying the same lower bound on the integrality gap of a well-known SDP relaxation for SPARSEST-CUT. This result builds upon and improves the recent lower… CONTINUE READING
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