The complexity of bayesian network learning: Revisiting the superstructure

R Ganian, V Korchemna - Advances in Neural Information …, 2021 - proceedings.neurips.cc
We investigate the parameterized complexity of Bayesian Network Structure Learning
(BNSL), a classical problem that has received significant attention in empirical but also …

On approximate data reduction for the Rural Postman Problem: Theory and experiments

R van Bevern, T Fluschnik, OY Tsidulko - Networks, 2020 - Wiley Online Library
Given an undirected graph with edge weights and a subset R of its edges, the Rural
Postman Problem (RPP) is to find a closed walk of minimum total weight containing all …

Scheduling kernels via configuration LP

D Knop, M Koutecký - arXiv preprint arXiv:2003.02187, 2020 - arxiv.org
Makespan minimization (on parallel identical or unrelated machines) is arguably the most
natural and studied scheduling problem. A common approach in practical algorithm design …

Finding connected secluded subgraphs

PA Golovach, P Heggernes, PT Lima… - Journal of Computer and …, 2020 - Elsevier
Problems related to finding induced subgraphs satisfying given properties form one of the
most studied areas within graph algorithms. However, for many applications, it is desirable …

Single-Exponential FPT Algorithms for Enumerating Secluded -Free Subgraphs and Deleting to Scattered Graph Classes

BMP Jansen, JJH de Kroon, M Włodarczyk - arXiv preprint arXiv …, 2023 - arxiv.org
The celebrated notion of important separators bounds the number of small $(S, T) $-
separators in a graph which are'farthest from $ S $'in a technical sense. In this paper, we …

Finding k-Secluded Trees Faster

H Donkers, BMP Jansen, JJH de Kroon - International Workshop on Graph …, 2022 - Springer
We revisit the k-Secluded Tree problem. Given a vertex-weighted undirected graph G, its
objective is to find a maximum-weight induced subtree T whose open neighborhood has …

Polynomial-time data reduction for weighted problems beyond additive goal functions

M Bentert, R van Bevern, T Fluschnik… - Discrete Applied …, 2023 - Elsevier
Dealing with NP-hard problems, kernelization is a fundamental notion for polynomial-time
data reduction with performance guarantees: in polynomial time, a problem instance is …

On polynomial kernels for traveling salesperson problem and its generalizations

V Blažej, P Choudhary, D Knop, Š Schierreich… - arXiv preprint arXiv …, 2022 - arxiv.org
For many problems, the important instances from practice possess certain structure that one
should reflect in the design of specific algorithms. As data reduction is an important and …

Elements of efficient data reduction: fractals, diminishers, weights and neighborhoods

T Fluschnik - 2020 - depositonce.tu-berlin.de
Preprocessing and data reduction are basic algorithmic tools. In parameterized algorithmics,
such preprocessing is defined by (problem) kernelization, where an equivalent instance (the …

[HTML][HTML] Preprocessing vertex-deletion problems: characterizing graph properties by low-rank adjacencies

BMP Jansen, JJH de Kroon - Journal of Computer and System Sciences, 2022 - Elsevier
We consider the Π-free Deletion problem parameterized by the size of a vertex cover, for a
range of graph properties Π. Given an input graph G, this problem asks whether there is a …