[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 …

[HTML][HTML] Mim-width I. Induced path problems

L Jaffke, O Kwon, JA Telle - Discrete Applied Mathematics, 2020 - Elsevier
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 …

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] Measuring what matters: A hybrid approach to dynamic programming with treewidth

E Eiben, R Ganian, T Hamm, O Kwon - Journal of Computer and System …, 2021 - Elsevier
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 …

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 …

Node multiway cut and subset feedback vertex set on graphs of bounded mim-width

B Bergougnoux, C Papadopoulos, JA Telle - Algorithmica, 2022 - Springer
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 …

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 …

Node multiway cut and subset feedback vertex set on graphs of bounded mim-width

B Benjamin, C Papadopoulos, JA Telle - … , WG 2020, Leeds, UK, June 24 …, 2020 - Springer
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 …

[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 …

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 …