6 papers
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…
Graph Classes Closed under Self-intersection
Konrad K. Dabrowski, Vadim V. Lozin, Martin MilaniÄ +3
A graph class is monotone if it is closed under taking subgraphs. It is known that a monotone class defined by finitely many obstructions has bounded treewidth if and only if one o…
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…
Finding -Cuts in Probe -Free Graphs
Konrad K. Dabrowski, Tala Eagling-Vose, Matthew Johnson +2
For an integer , the -Cut problem is that of deciding whether a graph has an edge cut in which each vertex is adjacent to at most vertices on the opposite side of t…
Bounding Width on Graph Classes of Constant Diameter
Konrad K. Dabrowski, Tala Eagling-Vose, Noleen Köhler +2
We determine if the width of a graph class changes from unbounded to bounded if we consider only those graphs from whose diameter is bounded. As parameters we…
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.…