[HTML][HTML] A survey on approximation in parameterized complexity: Hardness and algorithms

AE Feldmann, KC S, E Lee, P Manurangsi - Algorithms, 2020 - mdpi.com
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 …

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 …

Efficient approximation for subgraph-hitting problems in sparse graphs and geometric intersection graphs

Z Dvořák, D Lokshtanov, F Panolan, S Saurabh… - arxiv preprint arxiv …, 2023 - arxiv.org
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 …

Fpt approximations for packing and covering problems parameterized by elimination distance and even less

T Inamdar, L Kanesh, M Kundu, MS Ramanujan… - arxiv preprint arxiv …, 2023 - arxiv.org
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 …

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 …

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 …

[PDF][PDF] Efficient constant-factor approximate enumeration of minimal subsets for monotone properties with cardinality constraints

Y Kobayashi, K Kurita, K Wasa - arxiv preprint arxiv:2009.08830, 2020 - researchgate.net
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 …

Approximate Evaluation of Quantitative Second Order Queries

J Dreier, R Ganian, T Hamm - arxiv preprint arxiv:2305.02056, 2023 - arxiv.org
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 …

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 …

Efficient constant-factor approximate enumeration of minimal subsets for monotone properties with weight constraints

Y Kobayashi, K Kurita, K Wasa - arxiv preprint arxiv:2009.08830, 2020 - arxiv.org
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 …