Component order connectivity in directed graphs

J Bang-Jensen, E Eiben, G Gutin, M Wahlström, A Yeo - Algorithmica, 2022 - Springer
A directed graph D is semicomplete if for every pair x, y of vertices of D, there is at least one
arc between x and y. Thus, a tournament is a semicomplete digraph. In the Directed …

Hitting long directed cycles is fixed-parameter tractable

A Göke, D Marx, M Mnich - arxiv preprint arxiv:2003.05267, 2020 - arxiv.org
In the Directed Long Cycle Hitting Set} problem we are given a directed graph $ G $, and the
task is to find a set $ S $ of at most $ k $ vertices/arcs such that $ GS $ has no cycle of length …

Parameterized algorithms for generalizations of directed feedback vertex set

A Göke, D Marx, M Mnich - Discrete optimization, 2022 - Elsevier
Abstract The Directed Feedback Vertex Set (DFVS) problem takes as input a directed graph
G and seeks a smallest vertex set S that hits all cycles in G. This is one of Karp's 21 NP …

Vertex Deletion Problems

A Göke - 2022 - bonndoc.ulb.uni-bonn.de
In this thesis we study various vertex deletion problems. In a vertex deletion problem, we are
given a graph G and an integer k, and want to delete at most k vertices from G such that the …

[引用][C] Vertex Deletion Problems: A Parameterized Point of View

A Göke - 2022 - Dissertation, Bonn, Rheinische …