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Related papers: Controllability and Observability of Temporal Hype…

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Many real-world graphs or networks are temporal, e.g., in a social network persons only interact at specific points in time. This information directs dissemination processes on the network, such as the spread of rumors, fake news, or…

Social and Information Networks · Computer Science 2021-08-23 Lutz Oettershagen , Nils M. Kriege , Christopher Morris , Petra Mutzel

Links in most real networks often change over time. Such temporality of links encodes the ordering and causality of interactions between nodes and has a profound effect on network dynamics and function. Empirical evidences have shown that…

Social and Information Networks · Computer Science 2020-07-10 Disheng Tang , Wenbo Du , Louis Shekhtman , Yijie Wang , Shlomo Havlin , Xianbin Cao , Gang Yan

A \emph{temporal graph} is, informally speaking, a graph that changes with time. When time is discrete and only the relationships between the participating entities may change and not the entities themselves, a temporal graph may be viewed…

Discrete Mathematics · Computer Science 2015-03-03 Othon Michail

Reachability and other path-based measures on temporal graphs can be used to understand spread of infection, information, and people in modelled systems. Due to delays and errors in reporting, temporal graphs derived from data are unlikely…

Discrete Mathematics · Computer Science 2025-05-23 Jessica Enright , Laura Larios-Jones , Kitty Meeks , William Pettersson

The ever increasing adoption of mobile technologies and ubiquitous services allows to sense human behavior at unprecedented levels of details and scale. Wearable sensors are opening up a new window on human mobility and proximity at the…

Physics and Society · Physics 2015-06-15 Alain Barrat , Ciro Cattuto

This letter examines the controllability of consensus dynamics on matrix-weighed networks from a graph-theoretic perspective. Unlike the scalar-weighted networks, the rank of weight matrix introduces additional intricacies into…

Systems and Control · Electrical Eng. & Systems 2020-01-14 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

We present the Temporal Graph Benchmark (TGB), a collection of challenging and diverse benchmark datasets for realistic, reproducible, and robust evaluation of machine learning models on temporal graphs. TGB datasets are of large scale,…

Most transportation networks are inherently temporal: Connections (e.g. flights, train runs) are only available at certain, scheduled times. When transporting passengers or commodities, this fact must be considered for the the planning of…

Data Structures and Algorithms · Computer Science 2022-01-17 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

The absence of time-reversal symmetry is a fundamental property of many nonlinear time series. Here, we propose a new set of statistical tests for time series irreversibility based on standard and horizontal visibility graphs. Specifically,…

Data Analysis, Statistics and Probability · Physics 2016-04-07 Jonathan F. Donges , Reik V. Donner , Jürgen Kurths

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

Physics and Society · Physics 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière

Many real-world systems exhibit temporal, dynamic behaviors, which are captured as time series of complex agent interactions. To perform temporal reasoning, current methods primarily encode temporal dynamics through simple sequence-based…

Machine Learning · Computer Science 2024-01-09 Paridhi Maheshwari , Hongyu Ren , Yanan Wang , Rok Sosic , Jure Leskovec

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

This work presents some outcomes of a theoretical investigation of incompressible high-order networks defined by a generalized graph representation. We study some of their network topological properties and how these may be related to…

Information Theory · Computer Science 2019-05-15 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

We introduce the idea of temporal graphs, a representation that encodes temporal data into graphs while fully retaining the temporal information of the original data. This representation lets us explore the dynamic temporal properties of…

Physics and Society · Physics 2013-06-06 Vassilis Kostakos

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

Adaptation and Self-Organizing Systems · Physics 2012-10-10 Petter Holme , Jari Saramäki

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

Social and Information Networks · Computer Science 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method to decompose a temporal network into macroscale components…

Social and Information Networks · Computer Science 2018-08-16 Andrew Mellor

The advantages of temporal networks in capturing complex dynamics, such as diffusion and contagion, has led to breakthroughs in real world systems across numerous fields. In the case of human behavior, face-to-face interaction networks…

Social and Information Networks · Computer Science 2025-06-06 Nicolò Alessandro Girardini , Antonio Longa , Gaia Trebucchi , Giulia Cencetti , Andrea Passerini , Bruno Lepri

A temporal graph is a graph in which the edge set can change from one time step to the next. The temporal graph exploration problem TEXP is the problem of computing a foremost exploration schedule for a temporal graph, i.e., a temporal walk…

Data Structures and Algorithms · Computer Science 2021-03-17 Thomas Erlebach , Michael Hoffmann , Frank Kammer

Temporal networks representing a stream of timestamped edges are seemingly ubiquitous in the real-world. However, the massive size and continuous nature of these networks make them fundamentally challenging to analyze and leverage for…

Data Structures and Algorithms · Computer Science 2021-01-08 Nesreen K. Ahmed , Nick Duffield , Ryan A. Rossi