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What and Who

Parameterized Complexity of MinCSP for Equality Constraint Languages

George Osipov
Linköping University
AG1 Mittagsseminar (own work)

George Osipov is a PhD student at Linköping University.
AG 1  
AG Audience
English

Date, Time and Location

Tuesday, 2 May 2023
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

The talk is about the parameterized complexity of MinCSP for equality constraint languages, which are languages over an infinite domain with relations defined by first-order formulas whose only predicate is =. This is a natural class of optimization problems on undirected graphs, including problems such as Multicut, Steiner Multicut, and (under singleton expansion) Multiway Cut. Our main contribution is a classification of MinCSP for all finite equality constraint languages under the natural parameterization. We'll show that these problems are either solvable in FPT time, are W[1]-hard but admit a constant-factor FPT-approximation, or do not admit a constant-factor FPT-approximation unless FPT=W[2]. On the positive side, we obtain an FPT algorithm for a generalization of Multicut with deletable triple cut requests, and show a constant-factor FPT-approximation for Disjunctive Multicut, a generalization where the cut requests come as disjunctions of constant width. The talk is based on joint work with Magnus Wahlström.

Contact

Roohani Sharma
+49 681 9325 1116
--email hidden

Virtual Meeting Details

Zoom
527 278 8807
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Tags, Category, Keywords and additional notes

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

Roohani Sharma, 04/24/2023 17:16
Roohani Sharma, 03/30/2023 11:19 -- Created document.