Low-distortion embeddings of graphs with large girth

preprint2011arXivOpen access

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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Low-distortion embeddings of graphs with large girth

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