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] The complexity of finding small separators in temporal graphs

P Zschoche, T Fluschnik, H Molter… - Journal of Computer and …, 2020 - Elsevier
Temporal graphs have time-stamped edges. Building on previous work, we study the
problem of finding a small vertex set (the separator) whose removal destroys all temporal …

Deleting edges to restrict the size of an epidemic in temporal networks

J Enright, K Meeks, GB Mertzios, V Zamaraev - Journal of Computer and …, 2021 - Elsevier
Spreading processes on graphs are a natural model for a wide variety of real-world
phenomena, including information spread over social networks and biological diseases …

[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 …

[HTML][HTML] Temporal graph classes: A view through temporal separators

T Fluschnik, H Molter, R Niedermeier, M Renken… - Theoretical Computer …, 2020 - Elsevier
We investigate for temporal graphs the computational complexity of separating two distinct
vertices s and z by vertex deletion. In a temporal graph, the vertex set is fixed but the edges …

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 …

Sharp thresholds in random simple temporal graphs

A Casteigts, M Raskin, M Renken, V Zamaraev - SIAM Journal on Computing, 2024 - SIAM
A graph whose edges only appear at certain points in time is called a temporal graph
(among other names). Such a graph is temporally connected if each ordered pair of vertices …

Sliding window temporal graph coloring

GB Mertzios, H Molter, V Zamaraev - Journal of Computer and System …, 2021 - Elsevier
Graph coloring is one of the most famous computational problems with applications in a
wide range of areas such as planning and scheduling, resource allocation, and pattern …

Temporal cliques admit sparse spanners

A Casteigts, JG Peters, J Schoeters - Journal of Computer and System …, 2021 - Elsevier
Abstract Let G=(V, E) be an undirected graph on n vertices and λ: E→ 2 N a mapping that
assigns to every edge a non-empty set of integer labels (discrete times when the edge is …