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Networks are used as highly expressive tools in different disciplines. In recent years, the analysis and mining of temporal networks have attracted substantial attention. Frequent pattern mining is considered an essential task in the…

Social and Information Networks · Computer Science 2021-05-14 Ali Jazayeri , Christopher C. Yang

The association between tie strength and social structure is a fundamental topic in the social sciences. We study this association by analyzing tie strength in higher-order networks, an increasingly relevant model which can encode group…

Social and Information Networks · Computer Science 2024-09-26 Arnab Sarker , Jean-Baptiste Seby , Austin R. Benson , Ali Jadbabaie

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

Artificial Intelligence · Computer Science 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

Recent empirical evidence has shown that in many real-world systems, successfully represented as networks, interactions are not limited to dyads, but often involve three or more agents at a time. These data are better described by…

Physics and Society · Physics 2021-04-01 Federico Musciotto , Federico Battiston , Rosario N. Mantegna

Temporal graphs represent interactions between entities over the time. These interactions may be direct (a contact between two nodes at some time instant), or indirect, through sequences of contacts called temporal paths (journeys).…

Data Structures and Algorithms · Computer Science 2021-04-01 Luiz F. Afra Brito , Marcelo Albertini , Arnaud Casteigts , Bruno A. N. Travençolo

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

Networks are frequently used to model complex systems comprised of interacting elements. While edges capture the topology of direct interactions, the true complexity of many systems originates from higher-order patterns in paths by which…

Social and Information Networks · Computer Science 2022-10-04 Christoph Gote , Vincenzo Perri , Ingo Scholtes

Nestedness is a common property of communication, finance, trade, and ecological networks. In networks with high levels of nestedness, the link positions of low-degree nodes (those with few links) form nested subsets of the link positions…

Physics and Society · Physics 2023-12-19 Phillip P. A. Staniczenko , Debabrata Panja

Social networks transmitting covert or sensitive information cannot use all ties for this purpose. Rather, they can only use a subset of ties that are strong enough to be ``trusted''. In this paper we consider transitivity as evidence of…

Statistical Mechanics · Physics 2015-06-25 Xiaolin Shi , Lada A. Adamic , Martin J. Strauss

On signed social networks, balanced and unbalanced triangles are a critical motif due to their role as the foundations of Structural Balance Theory. The uses for these motifs have been extensively explored in networks with known edge signs,…

Data Structures and Algorithms · Computer Science 2026-02-17 Alexander Zhou , Haoyang Li , Anxin Tian , Zhiyuan Li , Yue Wang

Capturing both the structural and temporal aspects of interactions is crucial for many real world datasets like contact between individuals. Using the link stream formalism to capture the dynamic of the systems, we tackle the issue of…

Social and Information Networks · Computer Science 2018-04-13 Thibaud Arnoux , Lionel Tabourier , Matthieu Latapy

Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

Neurons and Cognition · Quantitative Biology 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

Recent technological advances and long-term data studies provide interaction data that can be modelled through dynamic networks, i.e a sequence of different snapshots of an evolving ecological network. Most often time is the parameter along…

Populations and Evolution · Quantitative Biology 2017-01-06 Vincent Miele , Catherine Matias

In a wide range of complex networks, the links between the nodes are temporal and may sporadically appear and disappear. This temporality is fundamental to analyze the formation of paths within such networks. Moreover, the presence of the…

Physics and Society · Physics 2017-09-20 Shahriar Etemadi Tajbakhsh , Justin P. Coon , David E. Simmons

Reconstructing network connectivity from the collective dynamics of a system typically requires access to its complete continuous-time evolution although these are often experimentally inaccessible. Here we propose a theory for revealing…

Neurons and Cognition · Quantitative Biology 2018-08-08 Jose Casadiego , Dimitra Maoutsa , Marc Timme

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Complex systems made of interacting elements are commonly abstracted as networks, in which nodes are associated with dynamic state variables, whose evolution is driven by interactions mediated by the edges. Markov processes have been the…

Physics and Society · Physics 2017-01-30 Vsevolod Salnikov , Michael T. Schaub , Renaud Lambiotte

Redundancy needs more precise characterization as it is a major factor in the evolution and robustness of networks of multivariate interactions. We investigate the complexity of such interactions by inferring a connection transitivity that…

Social and Information Networks · Computer Science 2021-10-25 Tiago Simas , Rion Brattig Correia , Luis M. Rocha
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