Results 51 to 60 of about 467 (123)

Parameterized Complexity of Binary CSP: Vertex Cover, Treedepth, and Related Parameters

open access: yes, 2022
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 modulator-based parameters. The main findings are as follows: i) Binary CSP parameterized by the vertex cover number is $\mathrm{W}[3]$-complete.
Bodlaender, Hans L.   +2 more
openaire   +6 more sources

Basic Treedepth Solver

open access: yes, 2020
This is a submission to the 2020 PACE challenge, Exact Tract: Computing treedepth decompositions of minimum width Submission by: Tom C. van der Zanden (Maastricht University) The solver is a basic one which computes decompositions bottom-up, in a ...
Tom C. van der Zanden
core   +1 more source

Weighted Treedepth is NP-complete on Graphs of Bounded Degree

open access: yesCoRR
A treedepth decomposition of an undirected graph $G$ is a rooted forest $F$ on the vertex set of $G$ such that every edge $uv\in E(G)$ is in ancestor-descendant relationship in $F$. Given a weight function $w\colon V(G)\rightarrow \mathbb{N}$, the weighted depth of a treedepth decomposition is the maximum weight of any path from the root to a leaf ...
Jona Dirks   +3 more
openaire   +3 more sources

Reconfiguration in bounded bandwidth and tree-depth [PDF]

open access: yesJournal of Computer and System Sciences, 2018
We show that several reconfiguration problems known to be PSPACE-complete remain so even when limited to graphs of bounded bandwidth. The essential step is noticing the similarity to very limited string rewriting systems, whose ability to directly simulate Turing Machines is classically known.
openaire   +6 more sources

Computing Twin-Width via Treedepth and Vertex Integrity

open access: yes
A short version of this preprint appeared at STACS ...
Ganian, Robert, Rocton, Mathis
openaire   +4 more sources

PACE Solver Description: Computing Exact Treedepth via Minimal Separators.

open access: yes, 2020
This is a description of team xuzijian629’s treedepth solver submitted to PACE 2020. As we use a top-down approach, we enumerate all possible minimal separators at each step. The enumeration is sped up by several novel pruning techniques and is based on our conjecture that we can always have an optimal decomposition without using separators with size ...
Xu, Zijian   +2 more
openaire   +3 more sources

MetaBayesDTA: codeless Bayesian meta-analysis of test accuracy, with or without a gold standard. [PDF]

open access: yesBMC Med Res Methodol, 2023
Cerullo E   +5 more
europepmc   +1 more source

Bayesian paired comparison with the bpcs package. [PDF]

open access: yesBehav Res Methods, 2022
Issa Mattos D   +2 more
europepmc   +1 more source

How Much Does a Treedepth Modulator Help to Obtain Polynomial Kernels Beyond Sparse Graphs?

open access: yes, 2019
International audienceIn the last years, kernelization with structural parameters has been an active area of research within the eld of parameterized complexity. As a relevant example, Gajarský et al. [ESA 2013] proved that every graph problem satisfying
Bougeret, Marin   +2 more
core   +1 more source

A faster polynomial-space algorithm for Hamiltonian cycle parameterized by treedepth

open access: yesCoRR
A large number of NP-hard graph problems can be solved in $f(w)n^{O(1)}$ time and space when the input graph is provided together with a tree decomposition of width $w$, in many cases with a modest exponential dependence $f(w)$ on $w$. Moreover, assuming the Strong Exponential-Time Hypothesis (SETH) we have essentially matching lower bounds for many ...
openaire   +2 more sources

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