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[HTML][HTML] A survey on approximation in parameterized complexity: Hardness and algorithms
Parameterization and approximation are two popular ways of co** with NP-hard
problems. More recently, the two have also been combined to derive many interesting …
problems. More recently, the two have also been combined to derive many interesting …
Lossy planarization: a constant-factor approximate kernelization for planar vertex deletion
BMP Jansen, M Włodarczyk - Proceedings of the 54th Annual ACM …, 2022 - dl.acm.org
In the F-minor-free deletion problem we are given an undirected graph G and the goal is to
find a minimum vertex set that intersects all minor models of graphs from the family F. This …
find a minimum vertex set that intersects all minor models of graphs from the family F. This …
Efficient approximation for subgraph-hitting problems in sparse graphs and geometric intersection graphs
We investigate a fundamental vertex-deletion problem called (Induced) Subgraph Hitting:
given a graph $ G $ and a set $\mathcal {F} $ of forbidden graphs, the goal is to compute a …
given a graph $ G $ and a set $\mathcal {F} $ of forbidden graphs, the goal is to compute a …
Fpt approximations for packing and covering problems parameterized by elimination distance and even less
For numerous graph problems in the realm of parameterized algorithms, using the size of a
smallest deletion set (called a modulator) into well-understood graph families as …
smallest deletion set (called a modulator) into well-understood graph families as …
Approximating Vertex Cover using Structural Rounding
B Lavallee, H Russell, BD Sullivan… - 2020 Proceedings of the …, 2020 - SIAM
In this work, we provide the first practical evaluation of the structural rounding framework for
approximation algorithms. Structural rounding works by first editing to a well-structured …
approximation algorithms. Structural rounding works by first editing to a well-structured …
Efficient parameterized approximation
S Kratsch, P Kunz - arxiv preprint arxiv:2501.14461, 2025 - arxiv.org
Many problems are NP-hard and, unless P= NP, do not admit polynomial-time exact
algorithms. The fastest known exact algorithms exactly usually take time exponential in the …
algorithms. The fastest known exact algorithms exactly usually take time exponential in the …
[PDF][PDF] Efficient constant-factor approximate enumeration of minimal subsets for monotone properties with cardinality constraints
A property Π on a finite set U is monotone if for every X⊆ U satisfying Π, every superset Y⊆
U of X also satisfies Π. Many combinatorial properties can be seen as monotone properties …
U of X also satisfies Π. Many combinatorial properties can be seen as monotone properties …
Approximate Evaluation of Quantitative Second Order Queries
Courcelle's theorem and its adaptations to cliquewidth have shaped the field of exact
parameterized algorithms and are widely considered the archetype of algorithmic meta …
parameterized algorithms and are widely considered the archetype of algorithmic meta …
Approximating power node-deletion problems
T Fujito, K Mukae, J Tsuzuki - Theoretical Computer Science, 2024 - Elsevier
Abstract In the Power Vertex Cover (PVC) problem introduced in [1] as a generalization of
the well-known Vertex Cover, we are allowed to specify costs for covering edges in a graph …
the well-known Vertex Cover, we are allowed to specify costs for covering edges in a graph …
Efficient constant-factor approximate enumeration of minimal subsets for monotone properties with weight constraints
A property $\Pi $ on a finite set $ U $ is\emph {monotone} if for every $ X\subseteq U $
satisfying $\Pi $, every superset $ Y\subseteq U $ of $ X $ also satisfies $\Pi $. Many …
satisfying $\Pi $, every superset $ Y\subseteq U $ of $ X $ also satisfies $\Pi $. Many …