ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...
We prove that every n-point metric space of negative type (and, in particular, every npoint subset of L1) embeds into a Euclidean space with distortion O( log n ? log log n), a r...