2023/03/28 by Newman, Ilan, Rabinovich, Yuri
#Computational Geometry (cs.CG) #FOS: Computer and information sciences
paper · doi:10.48550/arxiv.2303.15945
We study deterministic online embeddings of metrics spaces into normed spaces and into trees against an adaptive adversary. Main results include a polynomial lower bound on the (multiplicative) distortion of embedding into Euclidean spaces, a tight exponential upper bound on embedding into the line, and a (1+ε)-distortion embedding in ℓ_∞ of a suitably high dimension.