activity
20202024
most citedDegrees and Gaps: Tight Complexity Results of General Factor Problems Parameterized by Treewidth and Cutwidth

5 citations · 9 across the 6 of their papers we have counts for

collaborators

11 papers

cs.DS2024

Residue Domination in Bounded-Treewidth Graphs

Jakob Greilhuber, Philipp Schepper, Philip Wellnitz

For the vertex selection problem -DomSet one is given two fixed sets and of integers and the task is to decide whether we can select vertices of the input graph such…

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.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.CC2022★ 1 cited

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

Jacob Focke, Dániel Marx, Fionn Mc Inerney +4

We investigate how efficiently a well-studied family of domination-type problems can be solved on bounded-treewidth graphs. For sets of non-negative integers, a -set o…

cs.DS2022

Computing Generalized Convolutions Faster Than Brute Force

Barış Can Esmer, Ariel Kulik, Dániel Marx +2

In this paper, we consider a general notion of convolution. Let be a finite domain and let be the set of -length vectors (tuples) of . Let be…

cs.DS2022

Domination and Cut Problems on Chordal Graphs with Bounded Leafage

Esther Galby, Daniel Marx, Philipp Schepper +2

The leafage of a chordal graph G is the minimum integer l such that G can be realized as an intersection graph of subtrees of a tree with l leaves. We consider structural parameter…

cs.DS2022★ 1 cited

Parameterized Complexity of Weighted Multicut in Trees

Esther Galby, Dániel Marx, Philipp Schepper +2

The Edge Multicut problem is a classical cut problem where given an undirected graph , a set of pairs of vertices , and a budget , the goal is to determine if th…

cs.CC2021

Anti-Factor is FPT Parameterized by Treewidth and List Size (but Counting is Hard)

Dániel Marx, Govind S. Sankar, Philipp Schepper

In the general AntiFactor problem, a graph is given with a set of forbidden degrees for every vertex and the task is to find a set of edges su…

cs.CC2021★ 5 cited

Degrees and Gaps: Tight Complexity Results of General Factor Problems Parameterized by Treewidth and Cutwidth

Dániel Marx, Govind S. Sankar, Philipp Schepper

For the General Factor problem we are given an undirected graph and for each vertex a finite set of non-negative integers. The task is to decide if there is a…

cs.FL2021

Subcubic Certificates for CFL Reachability

Dmitry Chistikov, Rupak Majumdar, Philipp Schepper

Many problems in interprocedural program analysis can be modeled as the context-free language (CFL) reachability problem on graphs and can be solved in cubic time. Despite years of…

cs.CC2020★ 1 cited

Fine-Grained Complexity of Regular Expression Pattern Matching and Membership

Philipp Schepper

The currently fastest algorithm for regular expression pattern matching and membership improves the classical O(nm) time algorithm by a factor of about log^{3/2}n. Instead of focus…