[HTML][HTML] The complexity of optimal design of temporally connected graphs

EC Akrida, L Gąsieniec, GB Mertzios… - Theory of Computing …, 2017 - Springer
We study the design of small cost temporally connected graphs, under various constraints.
We mainly consider undirected graphs of n vertices, where each edge has an associated set …

On temporally connected graphs of small cost

EC Akrida, L Gąsieniec, GB Mertzios… - Approximation and Online …, 2015 - Springer
We study the design of small cost temporally connected graphs, under various constraints.
We mainly consider undirected graphs of n vertices, where each edge has an associated set …

Temporal network optimization subject to connectivity constraints

GB Mertzios, O Michail, I Chatzigiannakis… - … Colloquium on Automata …, 2013 - Springer
In this work we consider temporal networks, ie networks defined by a labeling λ assigning to
each edge of an underlying graph G a set of discrete time-labels. The labels of an edge …

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 …

[HTML][HTML] Temporal network optimization subject to connectivity constraints

GB Mertzios, O Michail, PG Spirakis - Algorithmica, 2019 - Springer
In this work we consider temporal networks, ie networks defined by a labeling λ λ assigning
to each edge of an underlying graph G a set of discrete time-labels. The labels of an edge …

On the size and the approximability of minimum temporally connected subgraphs

K Axiotis, D Fotakis - arXiv preprint arXiv:1602.06411, 2016 - arxiv.org
We consider temporal graphs with discrete time labels and investigate the size and the
approximability of minimum temporally connected spanning subgraphs. We present a family …

[HTML][HTML] Optimizing reachability sets in temporal graphs by delaying

A Deligkas, I Potapov - Information and Computation, 2022 - Elsevier
A temporal graph is a dynamic graph where every edge is assigned a set of integer time
labels that indicate at which discrete time step the edge is available. In this paper, we study …

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 …

[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 …

Temporal graph algorithms

L Oettershagen - 2022 - bonndoc.ulb.uni-bonn.de
Temporal graphs are often good models for real-life scenarios due to the inherently dynamic
nature of most real-world activities and processes. A significant difference between …