Epidemic spreading on higher-order networks

W Wang, Y Nie, W Li, T Lin, MS Shang, S Su, Y Tang… - Physics Reports, 2024 - Elsevier
Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

Influence blocking maximization on networks: Models, methods and applications

BL Chen, WX Jiang, YX Chen, L Chen, RJ Wang… - Physics Reports, 2022 - Elsevier
Due to the continuous emergence of various social and trade networks, network influence
analysis has aroused great interest of the researchers. Based on different influence …

Finding temporal paths under waiting time constraints

A Casteigts, AS Himmel, H Molter, P Zschoche - Algorithmica, 2021 - Springer
Computing a (short) path between two vertices is one of the most fundamental primitives in
graph algorithmics. In recent years, the study of paths in temporal graphs, that is, graphs …

[HTML][HTML] Temporal vertex cover with a sliding time window

EC Akrida, GB Mertzios, PG Spirakis… - Journal of Computer and …, 2020 - Elsevier
Modern, inherently dynamic systems are usually characterized by a network structure which
is subject to discrete changes over time. Given a static underlying graph, a temporal graph …

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 …

The complexity of temporal vertex cover in small-degree graphs

T Hamm, N Klobas, GB Mertzios… - Proceedings of the AAAI …, 2022 - ojs.aaai.org
Temporal graphs naturally model graphs whose underlying topology changes over time.
Recently, the problems Temporal Vertex Cover (or TVC) and Sliding-Window Temporal …

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 …

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 …

[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 …

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 …