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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 …
Odd cycle transversal, Vertex planarization, and Chordal vertex deletion under hybrid …
Approximating pathwidth for graphs of small treewidth
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 …
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
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 …
over time by edge insertions and deletions, maintains an optimum-height elimination forest …
Computing treedepth in polynomial space and linear FPT time
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 …
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
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 …
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 …
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
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 …
(PACE 2020) was devoted to the problem of computing the treedepth of a given graph …
On the parameterized complexity of clique elimination distance
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 …
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 …
includes treewidth and pathwidth. The characterization and approximation of these …
Parameterized complexity of binary CSP: vertex cover, treedepth, and related parameters
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 …
cover number and the treedepth of the constraint graph, as well as by a selection of related …