Dynamic Decremental Approximate Distance Oracles with (1+ε,2)(1+ε, 2) stretch

preprint2013arXivOpen access

Abstract

We provide a decremental approximate Distance Oracle that obtains stretch of 1+ε1+ε multiplicative and 2 additive and has O^(n5/2)\hat{O}(n^{5/2}) total cost (where O^\hat{O} notation suppresses polylogarithmic and nO(1)/nn^{O(1)/\sqrt{n}} factors). The best previous results with O^(n5/2)\hat{O}(n^{5/2}) total cost obtained stretch 3+ε3+ε.

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