[HTML][HTML] Mim-width III. Graph powers and generalized distance domination problems

L Jaffke, O Kwon, TJF Strømme, JA Telle - Theoretical Computer Science, 2019 - Elsevier
We generalize the family of (σ, ρ) problems and locally checkable vertex partition problems
to their distance versions, which naturally captures well-known problems such as Distance-r …

Tight complexity bounds for counting generalized dominating sets in bounded-treewidth graphs

J Focke, D Marx, FM Inerney, D Neuen, GS Sankar… - Proceedings of the 2023 …, 2023 - SIAM
We investigate how efficiently a well-studied family of domination-type problems can be
solved on bounded-treewidth graphs. For sets σ, ρ of non-negative integers, a (σ, ρ)-set of a …

On the Tractability of Optimization Problems on H-Graphs

FV Fomin, PA Golovach, JF Raymond - Algorithmica, 2020 - Springer
For a graph H, a graph G is an H-graph if it is an intersection graph of connected subgraphs
of some subdivision of H. H-graphs naturally generalize several important graph classes like …

Mim-width II. The feedback vertex set problem

L Jaffke, O Kwon, JA Telle - Algorithmica, 2020 - Springer
We give a first polynomial-time algorithm for (Weighted) Feedback Vertex Set on graphs of
bounded maximum induced matching width (mim-width). Explicitly, given a branch …

[HTML][HTML] Semitotal domination: New hardness results and a polynomial-time algorithm for graphs of bounded mim-width

E Galby, A Munaro, B Ries - Theoretical Computer Science, 2020 - Elsevier
A semitotal dominating set of a graph G with no isolated vertex is a dominating set D of G
such that every vertex in D is within distance two of another vertex in D. The minimum size γ t …

[HTML][HTML] On d-stable locally checkable problems parameterized by mim-width

CL Gonzalez, F Mann - Discrete Applied Mathematics, 2024 - Elsevier
In this paper we continue the study of locally checkable problems under the framework
introduced by Bonomo-Braberman and Gonzalez in 2020, by focusing on graphs of …

A new approach on locally checkable problems

F Bonomo-Braberman, CL Gonzalez - Discrete Applied Mathematics, 2022 - Elsevier
By providing a new framework, we extend previous results on locally checkable problems in
bounded treewidth graphs. As a consequence, we show how to solve, in polynomial time for …

On -stable locally checkable problems on bounded mim-width graphs

CL Gonzalez, F Mann - arxiv preprint arxiv:2203.15724, 2022 - arxiv.org
In this paper we continue the study of locally checkable problems under the framework
introduced by Bonomo-Braberman and Gonzalez in 2020, by focusing on graphs of …

Locally checkable problems parameterized by clique-width

N Baghirova, CL Gonzalez, B Ries… - arxiv preprint arxiv …, 2022 - arxiv.org
We continue the study initiated by Bonomo-Braberman and Gonzalez in 2020 on $ r $-
locally checkable problems. We propose a dynamic programming algorithm that takes as …

Linear mim-width of trees

S Høgemo, JA Telle, ER Vågset - … Workshop, WG 2019, Vall de Núria …, 2019 - Springer
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