[HTML][HTML] Mim-width III. Graph powers and generalized distance domination problems
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 …
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
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 …
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
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 …
of some subdivision of H. H-graphs naturally generalize several important graph classes like …
Mim-width II. The feedback vertex set problem
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 …
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
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 …
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 …
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 …
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 …
introduced by Bonomo-Braberman and Gonzalez in 2020, by focusing on graphs of …
Locally checkable problems parameterized by clique-width
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 …
locally checkable problems. We propose a dynamic programming algorithm that takes as …
Linear mim-width of trees
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