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20242026
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cs.DS2026

On the Parameterized Complexity of Min-Sum-Radii

Pankaj Kumar, Haiko Müller, Sebastian Ordyniak +1

In the Min-Sum-Radii (MSR) clustering problem, we are given a finite set X of n points in a metric space. The objective is to find at most k clusters centered at a subset of these…

cs.DS2026

Backdoors for Quantified Boolean Formulas

Leif Eriksson, Victor Lagerkvist, Sebastian Ordyniak +3

The quantified Boolean formula problem (QBF) is a well-known PSpace-complete problem with rich expressive power, and is generally viewed as the SAT analogue for PSpace. Given that…

cs.DS2026

Optimal FPT-Approximability for Modular Linear Equations

Konrad K. Dabrowski, Peter Jonsson, Sebastian Ordyniak +2

We show optimal FPT-approximability results for solving almost satisfiable systems of modular linear equations, completing the picture of the parameterized complexity and FPT-appro…

cs.DS2025

Parameterized Approximability for Modular Linear Equations

Konrad K. Dabrowski, Peter Jonsson, Sebastian Ordyniak +2

We consider the Min--Lin problem: given a system of length- linear equations modulo , find of minimum cardinality such that is satisfiable…

cs.DS2024

Towards a Parameterized Approximation Dichotomy of MinCSP for Linear Equations over Finite Commutative Rings

Konrad K. Dabrowski, Peter Jonsson, Sebastian Ordyniak +2

We consider the MIN-r-LIN(R) problem: given a system S of length-r linear equations over a ring R, find a subset of equations Z of minimum cardinality such that S-Z is satisfiable.…

cs.DS2024

Exact Algorithms for Clustered Planarity with Linear Saturators

Giordano Da Lozzo, Robert Ganian, Siddharth Gupta +3

We study Clustered Planarity with Linear Saturators, which is the problem of augmenting an -vertex planar graph whose vertices are partitioned into independent sets (called clus…