activity
20192026
most citedTight Complexity Bounds for Counting Generalized Dominating Sets in Bounded-Treewidth Graphs Part II: Hardness Results

1 citations · 2 across the 6 of their papers we have counts for

collaborators

11 papers

cs.DS2026

Approximation Schemes for Subset TSP and Steiner Tree on Geometric Intersection Graphs

Sándor Kisfaludi-Bak, Dániel Marx

We give approximation schemes for Subset TSP and Steiner Tree on unit disk graphs, and more generally, on intersection graphs of similarly sized connected fat (not necessarily conv…

cs.CG2025

On Subexponential Parameterized Algorithms for Steiner Tree on Intersection Graphs of Geometric Objects

Sujoy Bhore, Baris Can Esmer, Daniel Marx +1

We study the Steiner Tree problem on the intersection graph of most natural families of geometric objects, e.g., disks, squares, polygons, etc. Given a set of objects in the pl…

cs.DS2025

Generalized Graph Packing Problems Parameterized by Treewidth

Barış Can Esmer, Dániel Marx

-Packing is the problem of finding a maximum number of vertex-disjoint copies of in a given graph . -Partition is the special case of finding a set of vertex-disjoint…

cs.DS2025

The Price of Being Partial: Complexity of Partial Generalized Dominating Set on Bounded-Treewidth Graphs

Jakob Greilhuber, Dániel Marx

For fixed sets of non-negative integers, the -domination framework introduced by Telle [Nord. J. Comput. 1994] captures many classical graph problems. For a graph $G…

cs.CC2024

From Graph Properties to Graph Parameters: Tight Bounds for Counting on Small Subgraphs

Simon Döring, Dániel Marx, Philip Wellnitz

A graph property is a function that maps every graph to {0, 1} and is invariant under isomorphism. In the problem, given a graph and an integer , the task…

cs.DS2024

Hitting Meets Packing: How Hard Can it Be?

Jacob Focke, Fabian Frei, Shaohua Li +4

We study a general family of problems that form a common generalization of classic hitting (also referred to as covering or transversal) and packing problems. An instance of X-HitP…

cs.CC2024

Fundamental Problems on Bounded-Treewidth Graphs: The Real Source of Hardness

Barış Can Esmer, Jacob Focke, Dániel Marx +1

It is known for many algorithmic problems that if a tree decomposition of width is given in the input, then the problem can be solved with exponential dependence on . A line…

cs.CC2023

Multicut Problems in Embedded Graphs: The Dependency of Complexity on the Demand Pattern

Jacob Focke, Florian Hörsch, Shaohua Li +1

The Multicut problem asks for a minimum cut separating certain pairs of vertices: formally, given a graph and demand graph on a set of terminals, the task…

cs.CC2023★ 1 cited

Counting Small Induced Subgraphs with Edge-monotone Properties

Simon Döring, Dániel Marx, Philip Wellnitz

We study the parameterized complexity of #IndSub(), where given a graph and an integer , the task is to count the number of induced subgraphs on vertices that satisfy…

cs.CC2023★ 1 cited

Tight Complexity Bounds for Counting Generalized Dominating Sets in Bounded-Treewidth Graphs Part II: Hardness Results

Jacob Focke, Dániel Marx, Fionn Mc Inerney +4

For a well-studied family of domination-type problems, in bounded-treewidth graphs, we investigate whether it is possible to find faster algorithms. For sets of non-negative…

cs.CC2019

Parameterized Intractability of Even Set and Shortest Vector Problem

Arnab Bhattacharyya, Édouard Bonnet, László Egri +5

The -Even Set problem is a parameterized variant of the Minimum Distance Problem of linear codes over , which can be stated as follows: given a generator matrix $\m…