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A (directed) temporal graph is a (directed) graph whose edges are available only at specific times during its (discretized) lifetime $\tau$. In this setting, we ask that walks respect the temporal aspect by defining $\textit{temporal…

Discrete Mathematics · Computer Science 2025-10-15 Allen Ibiapina , Raul Lopes , Andrea Marino , Ana Silva

Network properties govern the rate and extent of various spreading processes, from simple contagions to complex cascades. Recently, the analysis of spreading processes has been extended from static networks to temporal networks, where nodes…

Physics and Society · Physics 2019-12-18 Eun Lee , Scott Emmons , Ryan Gibson , James Moody , Peter J. Mucha

We study the complexity of the directed periodic temporal graph realization problem. This work is motivated by the design of periodic schedules in public transport with constraints on the quality of service. Namely, we require that the…

Data Structures and Algorithms · Computer Science 2025-09-15 Julia Meusel , Matthias Müller-Hannemann , Klaus Reinhardt

Temporal graphs represent networks in which connections change over time, with edges available only at specific moments. Motivated by applications in logistics, multi-agent information spreading, and wireless networks, we introduce the…

Data Structures and Algorithms · Computer Science 2026-02-13 Daniele Carnevale , Gianlorenzo D'Angelo

We discuss the complexity of path enumeration and counting in weighted temporal graphs. In a weighted temporal graph, each edge has an availability time, a traversal time and some real cost. We introduce two bicriteria temporal min-cost…

Computational Complexity · Computer Science 2020-07-10 Petra Mutzel , Lutz Oettershagen

Temporal graphs have become an essential tool for analyzing complex dynamic systems with multiple agents. Detecting anomalies in temporal graphs is crucial for various applications, including identifying emerging trends, monitoring network…

Social and Information Networks · Computer Science 2023-07-12 Teddy Lazebnik , Or Iny

Temporal Graph Clustering (TGC) is a new task with little attention, focusing on node clustering in temporal graphs. Compared with existing static graph clustering, it can find the balance between time requirement and space requirement…

Machine Learning · Computer Science 2026-01-21 Meng Liu , Ke Liang , Siwei Wang , Xingchen Hu , Sihang Zhou , Xinwang Liu

Knowledge graphs have emerged as an effective tool for managing and standardizing semistructured domain knowledge in a human- and machine-interpretable way. In terms of graph-based domain applications, such as embeddings and graph neural…

Artificial Intelligence · Computer Science 2022-07-21 Franz Krause , Tobias Weller , Heiko Paulheim

The problem of graph Reachability is to decide whether there is a path from one vertex to another in a given graph. In this paper, we study the Reachability problem on three distinct graph families - intersection graphs of Jordan regions,…

Computational Complexity · Computer Science 2021-07-06 Sujoy Bhore , Rahul Jain

Temporal graphs are introduced to model systems where the relationships among the entities of the system evolve over time. In this paper, we consider the temporal graphs where the edge set changes with time and all the changes are known a…

Data Structures and Algorithms · Computer Science 2025-08-15 Rinku Kumar , Bodhisatwa Mazumdar , Subhrangsu Mandal

Dynamic networks reflect temporal changes occurring to the graph's structure and are used to model a wide variety of problems in many application fields. We investigate the design space of dynamic graph visualization along two major…

Human-Computer Interaction · Computer Science 2022-09-07 Velitchko Filipov , Alessio Arleo , Markus Bögl , Silvia Miksch

Real world networks exhibit rich temporal information: friends are added and removed over time in online social networks; the seasons dictate the predator-prey relationship in food webs; and the propagation of a virus depends on the network…

Property graphs are a common form of linked data, with path queries used to traverse and explore them for enterprise transactions and mining. Temporal property graphs are a recent variant where time is a first-class entity to be queried…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-16 Shriram Ramesh , Animesh Baranawal , Yogesh Simmhan

In recent years, a growing number of method and application works have adapted and applied the causal-graphical-model framework to time series data. Many of these works employ time-resolved causal graphs that extend infinitely into the past…

Statistics Theory · Mathematics 2023-10-10 Andreas Gerhardus , Jonas Wahl , Sofia Faltenbacher , Urmi Ninad , Jakob Runge

Researchers, policy makers, and engineers need to make sense of data on spreading processes as diverse as viral infections, water contamination, and misinformation in social networks. Classical questions include predicting infection…

Data Structures and Algorithms · Computer Science 2025-03-19 Ben Bals

Graph theory provides a language for studying the structure of relations, and it is often used to study interactions over time too. However, it poorly captures the both temporal and structural nature of interactions, that calls for a…

Social and Information Networks · Computer Science 2017-10-12 Matthieu Latapy , Tiphaine Viard , Clémence Magnien

In this paper we study the problem of answering connectivity queries about a \emph{graph timeline}. A graph timeline is a sequence of undirected graphs $G_1,\ldots,G_t$ on a common set of vertices of size $n$ such that each graph is…

Data Structures and Algorithms · Computer Science 2015-06-10 Adam Karczmarz , Jakub Łącki

We study a family of pattern-detection problems in vertex-colored temporal graphs. In particular, given a vertex-colored temporal graph and a multiset of colors as a query, we search for temporal paths in the graph that contain the colors…

Data Structures and Algorithms · Computer Science 2020-07-28 Suhas Thejaswi , Aristides Gionis , Juho Lauri

Dynamic temporal graphs represent evolving relations between entities, e.g. interactions between social network users or infection spreading. We propose an extension of graph echo state networks for the efficient processing of dynamic…

Machine Learning · Computer Science 2022-10-31 Domenico Tortorella , Alessio Micheli

Graphs are widespread data structures used to model a wide variety of problems. The sheer amount of data to be processed has prompted the creation of a myriad of systems that help us cope with massive scale graphs. The pressure to deliver…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-09 Luis M. Vaquero , Felix Cuadrado , Matei Ripeanu