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What and Who

Fine-Grained Complexity of Distance Oracles

Karl Bringmann
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Tuesday, 18 October 2022
13:00
45 Minutes
E1 4
007
Saarbrücken

Abstract

The classic Thorup-Zwick distance oracles allow to query k-approximate graph distances with O(1) query time and m^{1+O(1/k)} preprocessing time. We present fine-grained lower bounds showing that this tradeoff of approximation ratio, query time, and preprocessing time is near-optimal.


Specifically, we show that any k-approximate distance oracle has preprocessing time m^{1+Omega(1/k)} or query time m^{Omega(1/k)}, unless both the 3SUM and APSP hypotheses are false.

Joint work with Amir Abboud, Seri Khoury and Or Zamir.

Contact

Roohani Sharma
+49 681 9325 1116
--email hidden

Virtual Meeting Details

Zoom
527 278 8807
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logged in users only

Tags, Category, Keywords and additional notes

If you wish to attend the talk online but do not have the password, contact Roohani Sharma at rsharma@mpi-inf.mpg.de

Roohani Sharma, 10/14/2022 10:43 -- Created document.