Dynamic Decremental Approximate Distance Oracles with $(1+\hat{I}\mu ,2)$ stretch

Abstract

We provide a decremental approximate Distance Oracle that obtains stretch of $1+\hat{I}\mu$ multiplicative and 2 additive and has $\hat{O}(n^{5/2})$ total cost (where $\hat{O}$ notation suppresses polylogarithmic and $n^{O(1)/\sqrt{n}}$ factors). The best previous results with $\hat{O}(n^{5/2})$ total cost obtained stretch $3+\hat{I}\mu$.