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Nonembeddability theorems via Fourier analysis

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2 Author(s)
Subhash Khot ; Coll. of Comput., Georgia Inst. of Technol., Atlanta, GA, USA ; Assaf Naor

Various new nonembeddability results (mainly into L1) are proved via Fourier analysis. In particular, it is shown that the edit distance on {0, 1}d has L1 distortion (log d)12 - o(1)/. We also give new lower bounds on the L1 distortion of quotients of the discrete hypercube under group actions, and the transportation cost (Earthmover) metric.

Published in:

46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05)

Date of Conference:

23-25 Oct. 2005