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Nonembeddability theorems via Fourier analysis

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

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:
Foundations of Computer Science, 2005. FOCS 2005. 46th Annual IEEE Symposium on

Date of Conference: 23-25 Oct. 2005

Page(s):
101 - 110
Print ISBN:
0-7695-2468-0
INSPEC Accession Number:
8803090
Digital Object Identifier :
10.1109/SFCS.2005.54
Product Type:
Conference Publications

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