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Network reconstruction is fundamental to understanding the dynamical behaviors of the networked systems. Many systems, modeled by multiplex networks with various types of interactions, display an entirely different dynamical behavior…

Physics and Society · Physics 2020-01-28 Mincheng Wu , Jiming Chen , Shibo He , Youxian Sun , Shlomo Havlin , Jianxi Gao

In physics, biology and engineering, network systems abound. How does the connectivity of a network system combine with the behavior of its individual components to determine its collective function? We approach this question for networks…

Neurons and Cognition · Quantitative Biology 2018-12-19 Yu Hu , Steven L. Brunton , Nicholas Cain , Stefan Mihalas , J. Nathan Kutz , Eric Shea-Brown

Restoring operation of critical infrastructure systems after catastrophic events is an important issue, inspiring work in multiple fields, including network science, civil engineering, and operations research. We consider the problem of…

Adaptation and Self-Organizing Systems · Physics 2019-11-21 Andrew M. Smith , Márton Pósfai , Martin Rohden , Andrés D. Gonzáles , Leonardo Dueńas-Osorio , Raissa M. D'Souza

Disasters impact communities through interconnected social, spatial, and physical networks. Analyzing network dynamics is crucial for understanding resilience and recovery. We highlight six studies demonstrating how hazards and recovery…

Social and Information Networks · Computer Science 2025-02-27 Chia-Fu Liu , Ali Mostafavi

The problem of achieving consensus in a network of connected systems arises in many science and engineering applications. In contrast to previous works, we focus on the system reactivity, i.e., the initial amplification of the norm of the…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Amirhossein Nazerian , David Phillips , Hernan A. Makse , Francesco Sorrentino

In weighted graphs the shortest path between two nodes is often reached through an indirect path, out of all possible connections, leading to structural redundancies which play key roles in the dynamics and evolution of complex networks. We…

Social and Information Networks · Computer Science 2023-06-14 Felipe Xavier Costa , Rion Brattig Correia , Luis M. Rocha

Much of contemporary systems biology owes its success to the abstraction of a network, the idea that diverse kinds of molecular, cellular, and organismal species and interactions can be modeled as relational nodes and edges in a graph of…

Molecular Networks · Quantitative Biology 2017-05-26 Joseph L. Natale , David Hofmann , Damian G. Hernández , Ilya Nemenman

Reciprocity is an important characteristic of directed networks and has been widely used in the modeling of World Wide Web, email, social, and other complex networks. In this paper, we take a statistical physics point of view and study the…

Statistical Mechanics · Physics 2015-12-25 Mei Yin , Lingjiong Zhu

The geometric renormalization technique for complex networks has successfully revealed the multiscale self-similarity of real network topologies and can be applied to generate replicas at different length scales. In this letter, we extend…

Physics and Society · Physics 2023-07-04 Muhua Zheng , Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

The network structure (or topology) of a dynamical network is often unavailable or uncertain. Hence, we consider the problem of network reconstruction. Network reconstruction aims at inferring the topology of a dynamical network using…

Optimization and Control · Mathematics 2018-09-26 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Researchers, policy makers, and engineers need to make sense of data from spreading processes as diverse as rumor spreading in social networks, viral infections, and water contamination. Classical questions include predicting infection…

Data Structures and Algorithms · Computer Science 2026-01-08 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

Many social and other networks exhibit stable size scaling relationships, such that features such as mean degree or reciprocation rates change slowly or are approximately constant as the number of vertices increases. Statistical network…

Methodology · Statistics 2020-01-01 Carter T. Butts

Reciprocity is firmly established as an important mechanism that promotes cooperation. An efficient information exchange is likewise important, especially on structured populations, where interactions between players are limited. Motivated…

Physics and Society · Physics 2014-04-07 Attila Szolnoki , Matjaz Perc , Mauro Mobilia

Network analysis is currently used in a myriad of contexts: from identifying potential drug targets to predicting the spread of epidemics and designing vaccination strategies, and from finding friends to uncovering criminal activity.…

Data Analysis, Statistics and Probability · Physics 2010-04-28 R. Guimera , M. Sales-Pardo

Interbank markets are fundamental for bank liquidity management. In this paper, we introduce a model of interbank trading with memory. Our model reproduces features of preferential trading patterns in the e-MID market recently empirically…

Statistical Finance · Quantitative Finance 2021-08-30 Giulia Iori , Rosario N. Mantegna , Luca Marotta , Salvatore Micciche' , James Porter , Michele Tumminello

As a fundamental challenge in vast disciplines, link prediction aims to identify potential links in a network based on the incomplete observed information, which has broad applications ranging from uncovering missing protein-protein…

Social and Information Networks · Computer Science 2017-05-08 Hao Liao , Mingyang Zhou , Zong-Wen Wei , Rui Mao , Alexandre Vidmer , Yi-Cheng Zhang

Reconstructing the topology of complex networks from observational data remains a central challenge in network science. Here we propose a framework that is based on the Dempster-Shafer evidence theory to infer network structures directly…

Physics and Society · Physics 2026-03-04 Yishu Xian , Zhaobo Zhang , Cai Zhang , Meizhu Li , Qi Zhang

Interactions among units in complex systems occur in a specific sequential order thus affecting the flow of information, the propagation of diseases, and general dynamical processes. We investigate the Laplacian spectrum of temporal…

Physics and Society · Physics 2013-11-04 Naoki Masuda , Konstantin Klemm , Víctor M. Eguíluz

Empirical data on real complex systems are becoming increasingly available. Parallel to this is the need for new methods of reconstructing (inferring) the topology of networks from time-resolved observations of their node-dynamics. The…

Dynamical Systems · Mathematics 2019-09-16 Marc G. Leguia , Zoran Levnajic , Ljupco Todorovski , Bernard Zenko

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

Social and Information Networks · Computer Science 2021-02-10 Xinzhe Zuo , Mason A Porter