Low-distortion embeddings of graphs with large girth

Details Low-distortion embeddings of graphs with large girth Low-distortion embeddings of graphs with large girth

2011-08-12

arxiv.org/abs/1108.2542v2

Mathematics

Metric Geometry

Some confusing omissions are corrected in the second version

Scientific paper

The main purpose of the paper is to construct a sequence of graphs of
constant degree with indefinitely growing girths admitting embeddings into
$\ell_1$ with uniformly bounded distortions. This result answers the problem
posed by N. Linial, A. Magen, and A. Naor (2002).

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