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Current approaches for modeling propagation in networks (e.g., spread of disease) are unable to adequately capture temporal properties of the data such as order and duration of evolving connections or dynamic likelihoods of propagation…

Social and Information Networks · Computer Science 2022-03-29 Aparajita Haldar , Shuang Wang , Gunduz Demirci , Joe Oakley , Hakan Ferhatosmanoglu

Many dynamical phenomena in complex systems concern spreading that plays out on top of networks with changing architecture over time -- commonly known as temporal networks. A complex system's proneness to facilitate spreading phenomena,…

Physics and Society · Physics 2022-05-06 Mark M. Dekker , Raoul D. Schram , Jiamin Ou , Debabrata Panja

Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure…

Physics and Society · Physics 2017-09-07 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Many real-world networks, such as transportation or trade networks, are dynamic in the sense that the edge set may change over time, but these changes are known in advance. This behavior is captured by the temporal graphs model, which has…

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

Physics and Society · Physics 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

Dynamic networks, a.k.a. graph streams, consist of a set of vertices and a collection of timestamped interaction events (i.e., temporal edges) between vertices. Temporal motifs are defined as classes of (small) isomorphic induced subgraphs…

Methodology · Statistics 2022-02-23 Xiaojing Zhu , Eric D. Kolaczyk

To improve the accuracy of network-based SIS models we introduce and study a multilayer representation of a time-dependent network. In particular, we assume that individuals have their long-term (permanent) contacts that are always present,…

Physics and Society · Physics 2018-12-13 Aram Vajdi , David Juher , Joan Saldana , Caterina Scoglio

Networks are a fundamental tool for modeling complex systems in a variety of domains including social and communication networks as well as biology and neuroscience. Small subgraph patterns in networks, called network motifs, are crucial to…

Social and Information Networks · Computer Science 2018-01-08 Ashwin Paranjape , Austin R. Benson , Jure Leskovec

Low-dimensional vector representations of network nodes have proven successful to feed graph data to machine learning algorithms and to improve performance across diverse tasks. Most of the embedding techniques, however, have been developed…

Physics and Society · Physics 2021-05-04 Koya Sato , Mizuki Oka , Alain Barrat , Ciro Cattuto

Identifying the hidden organizational principles and relevant structures of networks representing complex physical systems is fundamental to understand their properties. To this aim, uncovering the structures involving a network's prominent…

Physics and Society · Physics 2022-08-17 Nicola Pedreschi , Demian Battaglia , Alain Barrat

Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex…

Physics and Society · Physics 2018-12-12 Quan-Hui Liu , Xinyue Xiong , Qian Zhang , Nicola Perra

Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network. However, most data-driven approaches used to model time-varying networks…

Physics and Society · Physics 2017-12-27 Tiago P. Peixoto , Laetitia Gauvin

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

Physics and Society · Physics 2016-07-05 Matthew J. Williams , Mirco Musolesi

Network epidemic simulation holds the promise of enabling fine-grained understanding of epidemic behavior, beyond that which is possible with coarse-grained compartmental models. Key inputs to these epidemic simulations are the networks…

Social and Information Networks · Computer Science 2024-01-01 Omar Eldaghar , Michael W. Mahoney , David F. Gleich

The vast majority of strategies aimed at controlling contagion processes on networks considers the connectivity pattern of the system as either quenched or annealed. However, in the real world many networks are highly dynamical and evolve…

Physics and Society · Physics 2015-06-17 Suyu Liu , Nicola Perra , Marton Karsai , Alessandro Vespignani

The analysis of temporal networks heavily depends on the analysis of time-respecting paths. However, before being able to model and analyze the time-respecting paths, we have to infer the timescales at which the temporal edges influence…

Physics and Society · Physics 2023-01-30 Luka V. Petrović , Anatol Wegner , Ingo Scholtes

When an epidemic spreads into a population, it is often unpractical or impossible to have a continuous monitoring of all subjects involved. As an alternative, algorithmic solutions can be used to infer the state of the whole population from…

Populations and Evolution · Quantitative Biology 2021-05-12 Abhishek Tomy , Matteo Razzanelli , Francesco Di Lauro , Daniela Rus , Cosimo Della Santina

We discuss how spreading processes on temporal networks are impacted by the shape of their inter-event time distributions. Through simple mathematical arguments and toy examples, we find that the key factor is the ordering in which events…

Physics and Society · Physics 2015-06-15 Renaud Lambiotte , Lionel Tabourier , Jean-Charles Delvenne

Stream graphs are a very useful mode of representation for temporal network data, whose richness offers a wide range of possible approaches. The various methods aimed at generalising the classical approaches applied to static networks are…

Social and Information Networks · Computer Science 2021-04-14 Mehdi Djellabi , Bertrand Jouve

Multiplex networks are convenient mathematical representations for many real-world -- biological, social, and technological -- systems of interacting elements, where pairwise interactions among elements have different flavors. Previous…

Physics and Society · Physics 2020-05-26 Saeed Osat , Filippo Radicchi , Fragkiskos Papadopoulos
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