Vertex deletion parameterized by elimination distance and even less

BMP Jansen, JJH De Kroon… - Proceedings of the 53rd …, 2021 - dl.acm.org
We study the parameterized complexity of various classic vertex-deletion problems such as
Odd cycle transversal, Vertex planarization, and Chordal vertex deletion under hybrid …

Approximating pathwidth for graphs of small treewidth

C Groenland, G Joret, W Nadara… - ACM transactions on …, 2023 - dl.acm.org
We describe a polynomial-time algorithm which, given a graph G with treewidth t,
approximates the pathwidth of G to within a ratio of. This is the first algorithm to achieve an f …

Efficient fully dynamic elimination forests with applications to detecting long paths and cycles

J Chen, W Czerwiński, Y Disser, AE Feldmann… - Proceedings of the 2021 …, 2021 - SIAM
We present a data structure that in a dynamic graph of treedepth at most d, which is modified
over time by edge insertions and deletions, maintains an optimum-height elimination forest …

Computing treedepth in polynomial space and linear FPT time

W Nadara, M Pilipczuk, M Smulewicz - arxiv preprint arxiv:2205.02656, 2022 - arxiv.org
The treedepth of a graph $ G $ is the least possible depth of an elimination forest of $ G $: a
rooted forest on the same vertex set where every pair of vertices adjacent in $ G $ is bound …

Hamiltonian cycle parameterized by treedepth in single exponential time and polynomial space

J Nederlof, M Pilipczuk, CMF Swennenhuis… - SIAM Journal on Discrete …, 2023 - SIAM
For many algorithmic problems on graphs of treewidth, a standard dynamic programming
approach gives algorithms with time and space complexity. It turns out that when one …

Equi-rank homomorphism preservation theorem on finite structures

B Rossman - 33rd EACSL Annual Conference on Computer …, 2025 - drops.dagstuhl.de
Abstract The Homomorphism Preservation Theorem (HPT) of classical model theory states
that a first-order sentence is preserved under homomorphisms if, and only if, it is equivalent …

The PACE 2020 parameterized algorithms and computational experiments challenge: Treedepth

Ł Kowalik, M Mucha, W Nadara… - 15th International …, 2020 - drops.dagstuhl.de
Abstract This year's Parameterized Algorithms and Computational Experiments challenge
(PACE 2020) was devoted to the problem of computing the treedepth of a given graph …

On the parameterized complexity of clique elimination distance

A Agrawal, MS Ramanujan - 15th International Symposium on …, 2020 - drops.dagstuhl.de
Abstract Bulian and Dawar [Algorithmica, 2016] introduced the notion of elimination distance
in an effort to define new tractable parameterizations for graph problems and showed that …

A polynomial excluded-minor approximation of treedepth

K Kawarabayashi, B Rossman - Journal of the European Mathematical …, 2021 - ems.press
Treedepth is a minor-monotone graph invariant in the family of “width measures” that
includes treewidth and pathwidth. The characterization and approximation of these …

Parameterized complexity of binary CSP: vertex cover, treedepth, and related parameters

HL Bodlaender, C Groenland, M Pilipczuk - arxiv preprint arxiv …, 2022 - arxiv.org
We investigate the parameterized complexity of Binary CSP parameterized by the vertex
cover number and the treedepth of the constraint graph, as well as by a selection of related …