We provide a decremental approximate Distance Oracle that obtains stretch of 1+ϵ multiplicative and 2 additive and has O^(n5/2) total cost (where O^ notation suppresses polylogarithmic and nO(1)/n factors). The best previous results with O^(n5/2) total cost obtained stretch 3+ϵ.
Cite
@article{arxiv.1307.1516,
title = {Dynamic Decremental Approximate Distance Oracles with $(1+\epsilon, 2)$ stretch},
author = {Ittai Abraham and Shiri Chechik},
journal= {arXiv preprint arXiv:1307.1516},
year = {2013}
}