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Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

Social and Information Networks · Computer Science 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

Production in an economy is a set of firms' activities as suppliers and customers; a firm buys goods from other firms, puts value added and sells products to others in a giant network of production. Empirical study is lacking despite the…

Physics and Society · Physics 2010-11-19 Yoshi Fujiwara , Hideaki Aoyama

Assortative mixing in networks is the tendency for nodes with the same attributes, or metadata, to link to each other. It is a property often found in social networks manifesting as a higher tendency of links occurring between people with…

Social and Information Networks · Computer Science 2018-04-19 Leto Peel , Jean-Charles Delvenne , Renaud Lambiotte

A network is said to show assortative mixing if the nodes in the network that have many connections tend to be connected to other nodes with many connections. We define a measure of assortative mixing for networks and use it to show that…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. E. J. Newman

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

Network topologies can be non-trivial, due to the complex underlying behaviors that form them. While past research has shown that some processes on networks may be characterized by low-order statistics describing nodes and their neighbors,…

Physics and Society · Physics 2019-10-22 Xin-Zeng Wu , Allon G. Percus , Keith Burghardt , Kristina Lerman

Aggregate and systemic risk in complex systems are emergent phenomena depending on two properties: the idiosyncratic risks of the elements and the topology of the network of interactions among them. While a significant attention has been…

Social and Information Networks · Computer Science 2018-09-25 Elisa Letizia , Fabrizio Lillo

Assessing the resilience of the economy requires accounting for its intrinsic multi-layer nature, by assessing for instance how disruptions at the firm level spread through the production network and propagate to the banking sector. Methods…

Physics and Society · Physics 2026-03-11 Soumen Majhi , Anna Mancini , Giulio Cimini

In a social network, the number of links of a node, or node degree, is often assumed as a proxy for the node's importance or prominence within the network. It is known that social networks exhibit the (first-order) assortative mixing, i.e.…

Physics and Society · Physics 2017-10-24 Shi Zhou , Ingemar J. Cox , Lars K. Hansen

Many natural, physical and social networks commonly exhibit power-law degree distributions. In this paper, we discover previously unreported asymmetrical patterns in the degree distributions of incoming and outgoing links in the…

Social and Information Networks · Computer Science 2015-07-17 Jianxi Luo , Daniel E. Whitney

The degree-degree correlation is crucial in understanding the structural properties of and dynamics occurring upon network, and is often measured by the assortativity coefficient $r$. In this paper, we first study this measure in detail and…

Physics and Society · Physics 2024-06-25 Fei Ma

We investigate degree correlations in two online social networks where users are connected through different types of links. We find that, while subnetworks in which links have a positive connotation, such as endorsement and trust, are…

Physics and Society · Physics 2015-01-07 Valerio Ciotti , Ginestra Bianconi , Andrea Capocci , Francesca Colaiori , Pietro Panzarasa

Inter-firm organizations, which play a driving role in the economy of a country, can be represented in the form of a customer-supplier network. Such a network exhibits a heavy-tailed degree distribution, disassortative mixing and a…

Physics and Society · Physics 2018-09-19 Abhijit Chakraborty , Hazem Krichene , Hiroyasu Inoue , Yoshi Fujiwara

In this work we explore degree assortativity in complex networks, and extend its usual definition beyond that of nearest neighbours. We apply this definition to model networks, and describe a rewiring algorithm that induces assortativity.…

Physics and Society · Physics 2024-06-04 Pádraig MacCarron , Shane Mannion , Thierry Platini

We reconstruct a product-level input-output network based on firm-level import-export data of Italian firms. We show that the network has a statistically significant, yet nuanced trophic structure, which is evident at the product level but…

Physics and Society · Physics 2025-05-05 Massimiliano Fessina , Andrea Tacchella , Andrea Zaccaria

We model a network economy with three sectors: downstream firms, upstream firms, and banks. Agents are linked by productive and credit relationships so that the behavior of one agent influences the behavior of the others through network…

General Finance · Quantitative Finance 2010-06-18 Domenico Delli Gatti , Mauro Gallegati , Bruce Greenwald , Alberto Russo , Joseph E. Stiglitz

Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree dependencies between neighbouring nodes. In this paper we propose a new way…

Physics and Society · Physics 2015-06-04 Nelly Litvak , Remco van der Hofstad

Complex networks are a recent type of frameworks used to study complex systems with many interacting elements, such as Self-Organized Criticality (SOC). The network node's tendency to link to other nodes of similar type is characterized by…

Adaptation and Self-Organizing Systems · Physics 2017-04-14 Alfonso Allen-Perkins , Javier Galeano , Juan Manuel Pastor

Companies do not operate in a vacuum. As companies move towards an increasingly specialized production function and their reach is becoming truly global, their aptitude in managing and shaping their inter-organizational network is a…

Risk Management · Quantitative Finance 2016-02-24 Tore Opsahl , William Newton

Economic models with input-output networks assume that firm or sector (unit) growth is driven by a weighted sum of trade partners' growth and an independently-drawn idiosyncratic shock. I show that the idiosyncratic risk assumption in a…

General Economics · Economics 2022-08-03 Victor Sellemi
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