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[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 …
[HTML][HTML] Mim-width I. Induced path problems
We initialize a series of papers deepening the understanding of algorithmic properties of the
width parameter maximum induced matching width (mim-width) of graphs. In this first volume …
width parameter maximum induced matching width (mim-width) of graphs. In this first volume …
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] Measuring what matters: A hybrid approach to dynamic programming with treewidth
We develop a framework for applying treewidth-based dynamic programming on graphs
with “hybrid structure”, ie, with parts that may not have small treewidth but instead possess …
with “hybrid structure”, ie, with parts that may not have small treewidth but instead possess …
More Applications of the -Neighbor Equivalence: Acyclicity and Connectivity Constraints
B Bergougnoux, MM Kanté - SIAM Journal on Discrete Mathematics, 2021 - SIAM
In this paper, we design a framework to obtain efficient algorithms for several problems with
a global constraint (acyclicity or connectivity) such as Connected Dominating Set, Node …
a global constraint (acyclicity or connectivity) such as Connected Dominating Set, Node …
Node multiway cut and subset feedback vertex set on graphs of bounded mim-width
The two weighted graph problems Node Multiway Cut (NMC) and Subset Feedback Vertex
Set (SFVS) both ask for a vertex set of minimum total weight, that for NMC disconnects a …
Set (SFVS) both ask for a vertex set of minimum total weight, that for NMC disconnects a …
More applications of the d-neighbor equivalence: Connectivity and acyclicity constraints
B Bergougnoux, MM Kanté - 27th Annual European Symposium …, 2019 - drops.dagstuhl.de
In this paper, we design a framework to obtain efficient algorithms for several problems with
a global constraint (acyclicity or connectivity) such as Connected Dominating Set, Node …
a global constraint (acyclicity or connectivity) such as Connected Dominating Set, Node …
Node multiway cut and subset feedback vertex set on graphs of bounded mim-width
The two weighted graph problems Node Multiway Cut (NMC) and Subset Feedback Vertex
Set (SFVS) both ask for a vertex set of minimum total weight, that for NMC disconnects a …
Set (SFVS) both ask for a vertex set of minimum total weight, that for NMC disconnects a …
[HTML][HTML] Subset feedback vertex set on graphs of bounded independent set size
C Papadopoulos, S Tzimas - Theoretical Computer Science, 2020 - Elsevier
Abstract The (Weighted) Subset Feedback Vertex Set problem is a generalization of the
classical Feedback Vertex Set problem and asks for a vertex set of minimum (weight) size …
classical Feedback Vertex Set problem and asks for a vertex set of minimum (weight) size …
Finding induced subgraphs from graphs with small mim-width
Y Otachi, A Suzuki, Y Tamura - arxiv preprint arxiv:2405.15492, 2024 - arxiv.org
In the last decade, algorithmic frameworks based on a structural graph parameter called
mim-width have been developed to solve generally NP-hard problems. However, it is known …
mim-width have been developed to solve generally NP-hard problems. However, it is known …