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 …

[HTML][HTML] Polynomial-time algorithms for the subset feedback vertex set problem on interval graphs and permutation graphs

C Papadopoulos, S Tzimas - Discrete Applied Mathematics, 2019 - Elsevier
Given a vertex-weighted graph G=(V, E) and a set S⊆ V, a subset feedback vertex set X is a
set of the vertices of G such that the graph induced by V∖ X has no cycle containing a vertex …

[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 …

Subset feedback vertex set in chordal and split graphs

G Philip, V Rajan, S Saurabh, P Tale - Algorithmica, 2019 - Springer
Abstract In the Subset Feedback Vertex Set (Subset-FVS) problem the input is a graph G on
n vertices, a subset T of vertices of G called the “terminal” vertices, and an integer k. The task …

Exponential-Time Approximation Schemes via Compression

T Inamdar, M Kundu, P Parviainen… - 15th Innovations in …, 2024 - drops.dagstuhl.de
In this paper, we give a framework to design exponential-time approximation schemes for
basic graph partitioning problems such as k-way cut, Multiway Cut, Steiner k-cut and …

Computing subset transversals in H-free graphs

N Brettell, M Johnson, G Paesani… - Theoretical Computer …, 2022 - Elsevier
We study the computational complexity of two well-known graph transversal problems,
namely Subset Feedback Vertex Set and Subset Odd Cycle Transversal, by restricting the …

Exact algorithms for restricted subset feedback vertex set in chordal and split graphs

T Bai, M Xiao - Theoretical Computer Science, 2024 - Elsevier
Abstract The Restricted Subset Feedback Vertex Set problem (R-SFVS) takes a graph G=(V,
E), a terminal set T⊆ V, and an integer k as the input. The task is to determine whether there …

Solving Directed Multiway Cut Faster Than 2ⁿ

M Xiao - 32nd Annual European Symposium on Algorithms …, 2024 - drops.dagstuhl.de
Abstract In the Directed Multiway Cut problem, we are given a directed graph G=(V, E) and a
subset T⊆ V, called the terminal set. The aim is to find a minimum sized set S⊆ V⧵ T, such …

Computing Subset Transversals in H-Free Graphs

N Brettell, M Johnson, G Paesani… - Graph-Theoretic Concepts …, 2020 - Springer
We study the computational complexity of two well-known graph transversal problems,
namely Subset Feedback Vertex Set and Subset Odd Cycle Transversal, by restricting the …

Exact and parameterized algorithms for restricted subset feedback vertex set in chordal graphs

T Bai, M Xiao - International Conference on Theory and Applications of …, 2022 - Springer
Abstract The Restricted Subset Feedback Vertex Set problem (r-sfvs) takes a graph G=(V, E),
a terminal set T⊆ V, and an integer k as the input. The task is to determine whether there …