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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

Random walks find applications in many areas of science and are the heart of essential network analytic tools. When defined on temporal networks, even basic random walk models may exhibit a rich spectrum of behaviours, due to the…

Physics and Society · Physics 2019-11-11 Julien Petit , Renaud Lambiotte , Timoteo Carletti

One of the main challenges in the study of time-varying networks is the interplay of memory effects with structural heterogeneity. In particular, different nodes and dyads can have very different statistical properties in terms of both link…

Physics and Society · Physics 2026-04-20 Giulio Virginio Clemente , Claudio J. Tessone , Diego Garlaschelli

The lack of large-scale, continuously evolving empirical data usually limits the study of networks to the analysis of snapshots in time. This approach has been used for verification of network evolution mechanisms, such as preferential…

Physics and Society · Physics 2019-10-10 Lazaros K. Gallos , Shlomo Havlin , H. Eugene Stanley , Nina H. Fefferman

Temporal networks are widely used models for describing the architecture of complex systems. Network memory -- that is the dependence of a temporal network's structure on its past -- has been shown to play a prominent role in diffusion,…

Physics and Society · Physics 2020-04-28 Oliver E. Williams , Lucas Lacasa , Ana P. Millán , Vito Latora

Time-varying connections are crucial in understanding the structures and dynamics of complex networks. In this paper, we propose a continuous-time switching topology model for temporal networks that is driven by bursty behavior and study…

Physics and Society · Physics 2025-05-21 Ziyan Zeng , Minyu Feng , Matjaž Perc , Jürgen Kurths

Vertices with high betweenness and closeness centrality represent influential entities in a network. An important problem for time varying networks is to know a-priori, using minimal computation, whether the influential vertices of the…

Social and Information Networks · Computer Science 2018-06-21 Soumya Sarkar , Sandipan Sikdar , Animesh Mukherjee , Sanjukta Bhowmick

A key ingredient of current models proposed to capture the topological evolution of complex networks is the hypothesis that highly connected nodes increase their connectivity faster than their less connected peers, a phenomenon called…

Statistical Mechanics · Physics 2009-11-07 H. Jeong , Z. Neda , A. -L. Barabasi

Functional and effective networks inferred from time series are at the core of network neuroscience. Interpreting their properties requires inferred network models to reflect key underlying structural features; however, even a few spurious…

Neurons and Cognition · Quantitative Biology 2022-09-22 Leonardo Novelli , Joseph T. Lizier

We study path-based graph queries that, in addition to navigation through edges, also perform navigation through time. This allows asking questions about the dynamics of networks, like traffic movement, cause-effect relationships, or the…

Databases · Computer Science 2025-07-31 Muhammad Adnan , Diego Calvanese , Julien Corman , Anton Dignös , Werner Nutt , Ognjen Savković

There is a consensus that human and non-human subjects experience temporal distortions in many stages of their perceptual and decision-making systems. Similarly, intertemporal choice research has shown that decision-makers undervalue future…

Neurons and Cognition · Quantitative Biology 2016-05-31 Pedro A. Ortega , Naftali Tishby

The dynamics of temporal networks lie in the continuous interactions between nodes, which exhibit the dynamic node preferences with time elapsing. The challenges of mining temporal networks are thus two-fold: the dynamic structure of…

Information Retrieval · Computer Science 2021-11-24 Tongya Zheng , Zunlei Feng , Yu Wang , Chengchao Shen , Mingli Song , Xingen Wang , Xinyu Wang , Chun Chen , Hao Xu

We introduce a model of adaptive temporal networks whose evolution is regulated by an interplay between node activity and dynamic exchange of information through links. We study the model by using a master equation approach. Starting from a…

Physics and Society · Physics 2016-04-18 Takaaki Aoki , Luis E. C. Rocha , Thilo Gross

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

Social and Information Networks · Computer Science 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and limitations of networks based on recurrences in phase space…

Chaotic Dynamics · Physics 2010-01-27 Reik V. Donner , Yong Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

Human knowledge is largely implicit and relational -- do we have a friend in common? can I walk from here to there? In this work, we leverage the combinatorial structure of graphs to quantify human priors over such relational data. Our…

Machine Learning · Computer Science 2024-03-01 Gecia Bravo-Hermsdorff

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

Neurons and Cognition · Quantitative Biology 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel

Navigation on graphs is the problem how an agent walking on the graph can get from a source to a target with limited information about the graph. The information and the way to exploit it can vary. In this paper, we study navigation on…

Populations and Evolution · Quantitative Biology 2018-10-17 Sang Hoon Lee , Petter Holme

Models for cross-sectional network data have become increasingly well-developed in recent decades, and are widely used. This has led to a growing interest in the connection between such cross-sectional models and the behavioral processes…

Social and Information Networks · Computer Science 2026-05-05 Carter T. Butts , Alexander Murray-Watters

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