Parameterized complexity of machine scheduling: 15 open problems
Abstract Machine scheduling problems are a long-time key domain of algorithms and
complexity research. A novel approach to machine scheduling problems are fixed …
complexity research. A novel approach to machine scheduling problems are fixed …
Problems on finite automata and the exponential time hypothesis
We study several classical decision problems on finite automata under the (Strong)
Exponential Time Hypothesis. We focus on three types of problems: universality …
Exponential Time Hypothesis. We focus on three types of problems: universality …
[HTML][HTML] Knapsack problems: A parameterized point of view
The knapsack problem (KP) is a very famous NP-hard problem in combinatorial
optimization. Also its generalization to multiple dimensions named d-dimensional knapsack …
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 …
G and we look for a vertex subset X of minimum weight such that the treewidth of G—X is at …
Packing Short Cycles
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 …
Motivated by recent advancements in finding vertex-disjoint paths between a specified set of …
Kernelization of Graph Hamiltonicity: Proper -Graphs
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 …
Cover, the well-known generalizations of the classical Hamiltonian Path and Hamiltonian …
A multivariate complexity analysis of the generalized Noah's ark problem
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 …
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
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 …
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
We study pattern matching problems on two major representations of uncertain sequences
used in molecular biology: weighted sequences (also known as position weight matrices …
used in molecular biology: weighted sequences (also known as position weight matrices …
On the parameterized complexity of polytree learning
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 …
between variables of a joint probability distribution. A fundamental task in data science is to …