Temporal reachability minimization: Delaying vs. deleting

H Molter, M Renken, P Zschoche - Journal of Computer and System …, 2024 - Elsevier
We study spreading processes in temporal graphs, that is, graphs whose connections
change over time. More precisely, we investigate how such a spreading process, emerging …

Delay-robust routes in temporal graphs

E Füchsle, H Molter, R Niedermeier… - arXiv preprint arXiv …, 2022 - arxiv.org
Most transportation networks are inherently temporal: Connections (eg flights, train runs) are
only available at certain, scheduled times. When transporting passengers or commodities …

Counting temporal paths

J Enright, K Meeks, H Molter - arXiv preprint arXiv:2202.12055, 2022 - arxiv.org
The betweenness centrality of a vertex v is an important centrality measure that quantifies
how many optimal paths between pairs of other vertices visit v. Computing betweenness …

The complexity of computing optimum labelings for temporal connectivity

N Klobas, GB Mertzios, H Molter… - arXiv preprint arXiv …, 2022 - arxiv.org
A graph is temporally connected if there exists a strict temporal path, ie a path whose edges
have strictly increasing labels, from every vertex $ u $ to every other vertex $ v $. In this …

Realizing temporal transportation trees

GB Mertzios, H Molter, PG Spirakis - arXiv preprint arXiv:2403.18513, 2024 - arxiv.org
In this paper, we study the complexity of the\textit {periodic temporal graph realization}
problem with respect to upper bounds on the fastest path durations among its vertices. This …

[HTML][HTML] Disentangling the computational complexity of network untangling

V Froese, P Kunz, P Zschoche - Theory of Computing Systems, 2024 - Springer
We study the network untangling problem introduced by Rozenshtein et al.(Data Min. Knowl.
Disc. 35 (1), 213–247, 2021), which is a variant of Vertex Cover on temporal graphs–graphs …

Temporal connectivity: Coping with foreseen and unforeseen delays

E Füchsle, H Molter, R Niedermeier… - arXiv preprint arXiv …, 2022 - arxiv.org
Consider planning a trip in a train network. In contrast to, say, a road network, the edges are
temporal, ie, they are only available at certain times. Another important difficulty is that trains …

Temporal graph realization from fastest paths

N Klobas, GB Mertzios, H Molter… - 3rd Symposium on …, 2024 - drops.dagstuhl.de
In this paper we initiate the study of the temporal graph realization problem with respect to
the fastest path durations among its vertices, while we focus on periodic temporal graphs …

Maximizing reachability in a temporal graph obtained by assigning starting times to a collection of walks

F Brunelli, P Crescenzi, L Viennot - Networks, 2023 - Wiley Online Library
In a temporal graph, each edge appears and can be traversed at specific points in time. In
such a graph, temporal reachability of one node from another is naturally captured by the …

As time goes by: reflections on treewidth for temporal graphs

T Fluschnik, H Molter, R Niedermeier… - Treewidth, Kernels, and …, 2020 - Springer
Treewidth is arguably the most important structural graph parameter leading to
algorithmically beneficial graph decompositions. Triggered by a strongly growing interest in …