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Dynamic network analysis has found an increasing interest in the literature because of the importance of different kinds of dynamic social networks, biological networks, and economic networks. Most available probability and statistical…

Methodology · Statistics 2017-10-18 Elynn Yi Chen , Rong Chen

Network reconstruction is a well-developed sub-field of network science, but it has only recently been applied to production networks, where nodes are firms and edges represent customer-supplier relationships. We review the literature that…

General Economics · Economics 2024-09-20 Luca Mungo , Alexandra Brintrup , Diego Garlaschelli , François Lafond

We propose a conceptually novel method of reconstructing the topology of dynamical networks. By examining the correlation between the variable of one node and the derivative of another node, we derive a simple matrix equation yielding the…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Zoran Levnajić

Network theory provides a rich toolbox consisting of methods, measures, and models for studying the structure and dynamics of complex systems found in nature, society, or technology. Recently, it has been pointed out that many real-world…

Physics and Society · Physics 2016-04-07 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Jürgen Kurths

The structure of real-world social networks in large part determines the evolution of social phenomena, including opinion formation, diffusion of information and influence, and the spread of disease. Globally, network structure is…

Social and Information Networks · Computer Science 2015-01-20 Sidharth Gupta , Xiaoran Yan , Kristina Lerman

In real networks complex topological features are often associated with a diversity of interactions as measured by the weights of the links. Moreover, spatial constraints may as well play an important role, resulting in a complex interplay…

Physics and Society · Physics 2014-11-18 Luca Dall'Asta , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

This paper investigates whether the gravity model (GM) can explain the statistical properties of the International Trade Network (ITN). We fit data on international-trade flows with a GM specification using alternative fitting techniques…

General Finance · Quantitative Finance 2011-12-14 Marco Duenas , Giorgio Fagiolo

A key issue in complex systems regards the relationship between topology and dynamics. In this work, we use a recently introduced network property known as steering coefficient as a means to approach this issue with respect to different…

Physics and Society · Physics 2017-11-27 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

Recent evidence indicates that the abundance of recurring elementary interaction patterns in complex networks, often called subgraphs or motifs, carry significant information about their function and overall organization. Yet, the…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Vazquez , R. Dobrin , D. Sergi , J. -P. Eckmann , Z. N. Oltvai , A. -L. Barabasi

We develop a new framework for modeling innovation networks which evolve over time. The nodes in the network represent firms, whereas the directed links represent unilateral interactions between the firms. Both nodes and links evolve…

Physics and Society · Physics 2007-12-18 Michael D. Koenig , Stefano Battiston , Frank Schweitzer

A continuously evolving geography requires a good understanding in networks. As such, this paper accounts for theories and applications of complex networks and their role both in geography in general, as well as in determining various…

Social and Information Networks · Computer Science 2019-06-24 Alexandra Barina , Gabriel Barina , Mihai Udrescu

Understanding the structure and formation of networks is a central topic in complexity science. Economic networks are formed by decisions of individual agents and thus not properly described by established random graph models. In this…

Physics and Society · Physics 2023-08-10 Chengyuan Han , Malte Schröder , Dirk Witthaut , Philipp C. Böttcher

Modeling Internet growth is important both for understanding the current network and to predict and improve its future. To date, Internet models have typically attempted to explain a subset of the following characteristics: network…

Networking and Internet Architecture · Computer Science 2008-06-25 Petter Holme , Josh Karlin , Stephanie Forrest

Few attempts have been proposed in order to describe the statistical features and historical evolution of the export bipartite matrix countries/products. An important standpoint is the introduction of a products network, namely a…

Physics and Society · Physics 2015-11-10 Fabio Saracco , Riccardo Di Clemente , Andrea Gabrielli , Luciano Pietronero

In the study of economic networks, econometric approaches interpret the traditional Gravity Model specification as the expected link weight coming from a probability distribution whose functional form can be chosen arbitrarily, while…

Physics and Society · Physics 2024-05-15 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

We introduce a method that can be used to evolve the topology of a network in a way that preserves both the network's spectral as well as local structure. This method is quite versatile in the sense that it can be used to evolve a network's…

Adaptation and Self-Organizing Systems · Physics 2016-08-23 Leonid Bunimovich , Benjamin Webb

In the paper we analyse dependence structures among international trade flows of major conventional weapons from 1952 to 2016. We employ a Network Disturbance Model commonly used in inferential network analysis and spatial econometrics. The…

Applications · Statistics 2018-03-12 Michael Lebacher , Göran Kauermann

Quantifying the importance and power of individual nodes depending on their position in socio-economic networks constitutes a problem across a variety of applications. Examples include the reach of individuals in (online) social networks,…

Physics and Society · Physics 2021-06-01 Chengyuan Han , Dirk Witthaut , Marc Timme , Malte Schröder

Previous efforts in complex networks research focused mainly on the topological features of such networks, but now also encompass the dynamics. In this Letter we discuss the relationship between structure and dynamics, with an emphasis on…

Network dynamics offers critical insights into the behavior and evolution of complex systems. Here, we focus on the topological dynamics of networks to explore a unique process for reducing the average distance: topological compression. The…

General Topology · Mathematics 2025-08-07 Jian-Hui Li , Zu-Guo Yu , Yu-Chu Tian