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cs.DS2024
Packing Short Cycles
Matthias Bentert, Fedor V. Fomin, Petr A. Golovach +6
Cycle packing is a fundamental problem in optimization, graph theory, and algorithms. Motivated by recent advancements in finding vertex-disjoint paths between a specified set of v…
cs.DS2024
The Parameterized Complexity Landscape of Two-Sets Cut-Uncut
Matthias Bentert, Fedor V. Fomin, Fanny Hauser +1
In Two-Sets Cut-Uncut, we are given an undirected graph and two terminal sets and . The task is to find a minimum cut in (if there is any) separating f…
cs.DS2024★ 1 cited
Tight Approximation and Kernelization Bounds for Vertex-Disjoint Shortest Paths
Matthias Bentert, Fedor V. Fomin, Petr A. Golovach
We examine the possibility of approximating Maximum Vertex-Disjoint Shortest Paths. In this problem, the input is an edge-weighted (directed or undirected) -vertex graph alo…