Article ID Journal Published Year Pages File Type
4590600 Journal of Functional Analysis 2012 8 Pages PDF
Abstract

The main purpose of the paper is to construct a sequence of graphs of constant degree with indefinitely growing girths admitting embeddings into ℓ1 with uniformly bounded distortions. This result solves the problem posed by N. Linial, A. Magen, and A. Naor (2002).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory