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Many types of dynamic networks are made up of durable entities whose links evolve over time. When considered from a {\em global} and {\em discrete} standpoint, these networks are often modelled as evolving graphs, i.e. a sequence of graphs…

Data Structures and Algorithms · Computer Science 2017-03-20 Arnaud Casteigts , Ralf Klasing , Yessin M. Neggaz , Joseph G. Peters

Reachability questions are one of the most fundamental algorithmic primitives in temporal graphs -- graphs whose edge set changes over discrete time steps. A core problem here is the NP-hard Short Restless Temporal Path: given a temporal…

Data Structures and Algorithms · Computer Science 2022-03-31 Philipp Zschoche

The richness of many complex systems stems from the interactions among their components. The higher-order nature of these interactions, involving many units at once, and their temporal dynamics constitute crucial properties that shape the…

Physics and Society · Physics 2024-07-29 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

Temporal networks are commonly used to represent systems where connections between elements are active only for restricted periods of time, such as networks of telecommunication, neural signal processing, biochemical reactions and human…

Data Analysis, Statistics and Probability · Physics 2011-11-15 Lauri Kovanen , Márton Karsai , Kimmo Kaski , János Kertész , Jari Saramäki

In many complex systems, elements interact via time-varying network topologies. Recent research shows that temporal correlations in the chronological ordering of interactions crucially influence network properties and dynamical processes.…

Physics and Society · Physics 2020-12-01 Yan Zhang , Antonios Garas , Ingo Scholtes

A temporal graph is a data structure, consisting of nodes and edges in which the edges are associated with time labels. To analyze the temporal graph, the first step is to find a proper graph dataset/benchmark. While many temporal graph…

Social and Information Networks · Computer Science 2017-03-09 Wouter Ligtenberg , Yulong Pei

The times of temporal-network events and their correlations contain information on the function of the network and they influence dynamical processes taking place on it. To extract information out of correlated event times, techniques such…

Physics and Society · Physics 2019-12-10 Jari Saramäki , Mikko Kivelä , Márton Karsai

Betweenness centrality measure assesses the importance of nodes in a graph and has been used in a variety of contexts. Betweenness centrality has also been extended to temporal graphs. Temporal graphs have edges that bear labels according…

Data Structures and Algorithms · Computer Science 2023-06-07 Mehdi Naima , Matthieu Latapy , Clémence Magnien

Many time-evolving systems in nature, society and technology leave traces of the interactions within them. These interactions form temporal networks that reflect the states of the systems. In this work, we pursue a coarse-grained…

Social and Information Networks · Computer Science 2019-02-07 Naoki Masuda , Petter Holme

Graphs are widely used for modeling various types of interactions, such as email communications and online discussions. Many of such real-world graphs are temporal, and specifically, they grow over time with new nodes and edges. Counting…

Social and Information Networks · Computer Science 2023-01-04 Deukryeol Yoon , Dongjin Lee , Minyoung Choe , Kijung Shin

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

We analyze a recently proposed temporal centrality measure applied to an empirical network based on person-to-person contacts in an emergency department of a busy urban hospital. We show that temporal centrality identifies a distinct set of…

Physics and Society · Physics 2016-03-15 Isabel Chen , Michele Benzi , Howard H. Chang , Vicki S. Hertzberg

We investigate the computational complexity of finding temporally disjoint paths or walks in temporal graphs. There, the edge set changes over discrete time steps and a temporal path (resp. walk) uses edges that appear at monotonically…

Data Structures and Algorithms · Computer Science 2021-05-25 Nina Klobas , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Philipp Zschoche

Time-to-Contact (TTC) estimation is a critical task for assessing collision risk and is widely used in various driver assistance and autonomous driving systems. The past few decades have witnessed development of related theories and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Yuheng Shi , Zehao Huang , Yan Yan , Naiyan Wang , Xiaojie Guo

Temporal graphs are structures which model relational data between entities that change over time. Due to the complex structure of data, mining statistically significant temporal subgraphs, also known as temporal motifs, is a challenging…

Social and Information Networks · Computer Science 2021-10-05 Antonio Longa , Giulia Cencetti , Bruno Lepri , Andrea Passerini

Real complex systems are inherently time-varying. Thanks to new communication systems and novel technologies, it is today possible to produce and analyze social and biological networks with detailed information on the time of occurrence and…

Physics and Society · Physics 2012-04-17 V. Nicosia , J. Tang , M. Musolesi , G. Russo , C. Mascolo , V. Latora

A temporal graph can be represented by a graph with an edge labelling, such that an edge is present in the network if and only if the edge is assigned the corresponding time label. A journey is a labelled path in a temporal graph such that…

Computational Complexity · Computer Science 2023-12-13 Esteban Christiann , Eric Sanlaville , Jason Schoeters

Knowledge is inherently time-sensitive and continuously evolves over time. Although current Retrieval-Augmented Generation (RAG) systems enrich LLMs with external knowledge, they largely ignore this temporal nature. This raises two…

Information Retrieval · Computer Science 2025-10-16 Jiale Han , Austin Cheung , Yubai Wei , Zheng Yu , Xusheng Wang , Bing Zhu , Yi Yang

A temporal graph is a graph in which connections between vertices are active at specific times, and such temporal information leads to completely new patterns and knowledge that are not present in a non-temporal graph. In this paper, we…

Data Structures and Algorithms · Computer Science 2014-01-10 Silu Huang , James Cheng , Huanhuan Wu