Edge exploration of temporal graphs

BM Bumpus, K Meeks - Algorithmica, 2023 - Springer
We introduce a natural temporal analogue of Eulerian circuits and prove that, in contrast to
the static case, it is NP-hard to determine whether a given temporal graph is temporally …

Interference-free walks in time: Temporally disjoint paths

N Klobas, GB Mertzios, H Molter, R Niedermeier… - Autonomous Agents and …, 2023 - Springer
We investigate the computational complexity of finding temporally disjoint paths and walks in
temporal graphs. There, the edge set changes over discrete time steps. Temporal paths and …

[HTML][HTML] The complexity of computing optimum labelings for temporal connectivity

N Klobas, GB Mertzios, H Molter, PG Spirakis - Journal of Computer and …, 2024 - Elsevier
A graph is temporally connected if a strict temporal path exists from every vertex u to every
other vertex v. This paper studies temporal design problems for undirected temporally …

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 …

Towards classifying the polynomial-time solvability of temporal betweenness centrality

M Rymar, H Molter, A Nichterlein… - Graph-Theoretic Concepts …, 2021 - Springer
In static graphs, the betweenness centrality of a graph vertex measures how many times this
vertex is part of a shortest path between any two graph vertices. Betweenness centrality is …

Simple, strict, proper, happy: A study of reachability in temporal graphs

A Casteigts, T Corsini, W Sarkar - Theoretical Computer Science, 2024 - Elsevier
Dynamic networks are a complex subject. Not only do they inherit the complexity of static
networks (as a particular case); they are also sensitive to definitional subtleties that are a …

Complexity framework for forbidden subgraphs IV: The Steiner Forest problem

HL Bodlaender, M Johnson… - … 2024, Ischia, Italy, July 1–3 …, 2023 - books.google.com
We study Steiner Forest on H-subgraph-free graphs, that is, graphs that do not contain some
fixed graph H as a (not necessarily induced) subgraph. We are motivated by a recent …

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 …

Realizing temporal graphs from fastest travel times

N Klobas, GB Mertzios, H Molter… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper we initiate the study of the\emph {temporal graph realization} problem with
respect to the fastest path durations among its vertices, while we focus on periodic temporal …

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 …