Parameterized complexity of machine scheduling: 15 open problems

M Mnich, R Van Bevern - Computers & Operations Research, 2018 - Elsevier
Abstract Machine scheduling problems are a long-time key domain of algorithms and
complexity research. A novel approach to machine scheduling problems are fixed …

Problems on finite automata and the exponential time hypothesis

H Fernau, A Krebs - Algorithms, 2017 - mdpi.com
We study several classical decision problems on finite automata under the (Strong)
Exponential Time Hypothesis. We focus on three types of problems: universality …

[HTML][HTML] Knapsack problems: A parameterized point of view

F Gurski, C Rehs, J Rethmann - Theoretical Computer Science, 2019 - Elsevier
The knapsack problem (KP) is a very famous NP-hard problem in combinatorial
optimization. Also its generalization to multiple dimensions named d-dimensional knapsack …

Losing Treewidth In The Presence Of Weights

M Włodarczyk - Proceedings of the 2025 Annual ACM-SIAM …, 2025 - SIAM
Abstract In the Weighted Treewidth-η Deletion problem we are given a node-weighted graph
G and we look for a vertex subset X of minimum weight such that the treewidth of G—X is at …

Packing Short Cycles

M Bentert, FV Fomin, PA Golovach, T Korhonen… - Proceedings of the 2025 …, 2025 - SIAM
Cycle packing is a fundamental problem in optimization, graph theory, and algorithms.
Motivated by recent advancements in finding vertex-disjoint paths between a specified set of …

Kernelization of Graph Hamiltonicity: Proper -Graphs

S Chaplick, FV Fomin, PA Golovach, D Knop… - SIAM Journal on Discrete …, 2021 - SIAM
We obtain new polynomial kernels and compression algorithms for Path Cover and Cycle
Cover, the well-known generalizations of the classical Hamiltonian Path and Hamiltonian …

A multivariate complexity analysis of the generalized Noah's ark problem

C Komusiewicz, JT Schestag - Cologne-Twente Workshop on Graphs and …, 2023 - Springer
Abstract In the Generalized Noah's Ark Problem, one is given a phylogenetic tree on a set of
species X and a set of projects for each species. Each project comes with a cost and raises …

Serial batching to minimize the weighted number of tardy jobs

D Hermelin, M Mnich, S Omlor - Journal of Scheduling, 2024 - Springer
Abstract The 1| s-batch (∞), rj|∑ wj U j scheduling problem takes as input a batch setup time
Δ and a set of n jobs, each having a processing time, a release date, a weight, and a due …

Pattern matching and consensus problems on weighted sequences and profiles

T Kociumaka, SP Pissis, J Radoszewski - Theory of computing systems, 2019 - Springer
We study pattern matching problems on two major representations of uncertain sequences
used in molecular biology: weighted sequences (also known as position weight matrices …

On the parameterized complexity of polytree learning

N Grüttemeier, C Komusiewicz, N Morawietz - arxiv preprint arxiv …, 2021 - arxiv.org
A Bayesian network is a directed acyclic graph that represents statistical dependencies
between variables of a joint probability distribution. A fundamental task in data science is to …