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 …

Königsberg sightseeing: Eulerian walks in temporal graphs

A Marino, A Silva - International Workshop on Combinatorial Algorithms, 2021 - Springer
Abstract An Eulerian walk (or Eulerian trail) is a walk (resp. trail) that visits every edge of a
graph G at least (resp. exactly) once. This notion was first discussed by Leonhard Euler …

Eulerian walks in temporal graphs

A Marino, A Silva - Algorithmica, 2023 - Springer
Abstract An Eulerian walk (or Eulerian trail) is a walk (resp. trail) that visits every edge of a
graph G at least (resp. exactly) once. This notion was first discussed by Leonhard Euler …

[HTML][HTML] Untangling temporal graphs of bounded degree

R Dondi - Theoretical Computer Science, 2023 - Elsevier
In this contribution we consider a variant of the vertex cover problem in temporal graphs that
has been recently introduced to summarize timeline activities in social networks. The …

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 …

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 …

Timeline cover in temporal graphs: Exact and approximation algorithms

R Dondi, A Popa - International Workshop on Combinatorial Algorithms, 2023 - Springer
In this paper we study a variant of vertex cover on temporal graphs that has been recently
introduced for timeline activities summarization in social networks. The problem has been …

Algebraic and geometric models for space networking

W Bernardoni, R Cardona, J Cleveland, J Curry… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper we introduce some new algebraic and geometric perspectives on networked
space communications. Our main contribution is a novel definition of a time-varying graph …

An FTP Algorithm for Temporal Graph Untangling

R Dondi, M Lafond - arXiv preprint arXiv:2307.00786, 2023 - arxiv.org
Several classical combinatorial problems have been considered and analysed on temporal
graphs. Recently, a variant of Vertex Cover on temporal graphs, called MinTimelineCover …

Distance to Transitivity: New Parameters for Taming Reachability in Temporal Graphs

A Casteigts, N Morawietz, P Wolf - arXiv preprint arXiv:2406.19514, 2024 - arxiv.org
A temporal graph is a graph whose edges only appear at certain points in time. Reachability
in these graphs is defined in terms of paths that traverse the edges in chronological order …