A survey on approximation in parameterized complexity: Hardness and algorithms

AE Feldmann, 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 …

Structural parameterizations for two bounded degree problems revisited

M Lampis, M Vasilakis - ACM Transactions on Computation Theory, 2024 - dl.acm.org
We revisit two well-studied problems, Bounded Degree Vertex Deletion and Defective
Coloring, where the input is a graph G and a target degree Δ, and we are asked either to edit …

Low treewidth embeddings of planar and minor-free metrics

A Filtser, H Le - 2022 IEEE 63rd Annual Symposium on …, 2022 - ieeexplore.ieee.org
Cohen-Addad, Filtser, Klein and Le FOCS'20 constructed a stochastic embedding of minor-
free graphs of diameter D into graphs of treewidth O_ϵ(\logn) with expected additive …

Grundy distinguishes treewidth from pathwidth

R Belmonte, EJ Kim, M Lampis, V Mitsou… - SIAM Journal on Discrete …, 2022 - SIAM
Structural graph parameters, such as treewidth, pathwidth, and clique-width, are a central
topic of study in parameterized complexity. A main aim of research in this area is to …

Clan embeddings into trees, and low treewidth graphs

A Filtser, H Le - Proceedings of the 53rd Annual ACM SIGACT …, 2021 - dl.acm.org
In low distortion metric embeddings, the goal is to embed a host “hard” metric space into a
“simpler” target space while approximately preserving pairwise distances. A highly desirable …

Tight (Double) Exponential Bounds for NP-Complete Problems: Treewidth and Vertex Cover Parameterizations

F Foucaud, E Galby, L Khazaliya, S Li… - arxiv preprint arxiv …, 2023 - arxiv.org
Treewidth is as an important parameter that yields tractability for many problems. For
example, graph problems expressible in Monadic Second Order (MSO) logic and …

Fine-grained meta-theorems for vertex integrity

M Lampis, V Mitsou - Logical Methods in Computer Science, 2024 - lmcs.episciences.org
Vertex Integrity is a graph measure which sits squarely between two more well-studied
notions, namely vertex cover and tree-depth, and that has recently gained attention as a …

The Primal Pathwidth SETH

M Lampis - Proceedings of the 2025 Annual ACM-SIAM …, 2025 - SIAM
Motivated by the importance of dynamic programming (DP) in parameterized complexity, we
consider several fundamental fine-grained questions, such as the following representative …

Towards exact structural thresholds for parameterized complexity

F Hegerfeld, S Kratsch - arxiv preprint arxiv:2107.06111, 2021 - arxiv.org
Parameterized complexity seeks to use input structure to obtain faster algorithms for NP-
hard problems. This has been most successful for graphs of low treewidth: Many problems …

Upper dominating set: Tight algorithms for pathwidth and sub-exponential approximation

L Dublois, M Lampis, VT Paschos - Theoretical Computer Science, 2022 - Elsevier
Abstract In the Upper Dominating Set problem, the goal is to find a minimal dominating set of
maximum size. We study the complexity of parameterized algorithms for Upper Dominating …