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We develop a model characterizing all possible knots and links arising from recombination starting with a twist knot substrate, extending previous work of Buck and Flapan. We show that all knot or link products fall into three…

Geometric Topology · Mathematics 2015-05-19 Dorothy Buck , Karin Valencia

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 determinant property of the structure of a biological network is the distribution of local connectivity patterns, i.e., network motifs. In this work, a method for creating directed, unweighted networks while promoting a certain…

Social and Information Networks · Computer Science 2016-07-29 Tuomo Mäki-Marttunen

We have developed different network approaches to analyze complex patterns of frictional interfaces (contact area developments). Network theory is a fundamental tool for the modern understanding of complex systems in which, by a simple…

General Physics · Physics 2012-01-04 H. O. Ghaffari , R. P. Young

Triadic closure has been conceptualized and measured in a variety of ways, most famously the clustering coefficient. Existing extensions to affiliation networks, however, are sensitive to repeat group attendance, which manifests in…

Combinatorics · Mathematics 2016-06-27 Jason Cory Brunson

Triadic interactions are special types of higher-order interactions that occur when regulator nodes modulate the interactions between other two or more nodes. In presence of triadic interactions, a percolation process occurring on a…

Adaptation and Self-Organizing Systems · Physics 2026-02-03 Hanlin Sun , Filippo Radicchi , Ginestra Bianconi

In complex systems, groups of interacting objects may form prevalent and persistent spatiotemporal patterns, which we refer to as motifs. These motifs can exhibit features that reveal how individual objects interact with one another.…

Biological Physics · Physics 2025-12-12 Ying Chen Lim , Rakesh Das , Tetsuya Hiraiwa , N. Duane Loh

In this paper, we consider composite networks formed from the Kronecker product of smaller networks. We find the observability and controllability properties of the product network from those of its constituent smaller networks. The overall…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Mohammadreza Doostmohammadian , Usman A. Khan

Distress propagation occurs in connected networks, its rate and extent being dependent on network topology. To study this, we choose economic production networks as a paradigm. An economic network can be examined at many levels: linkages…

Physics and Society · Physics 2021-02-03 Ashish Kumar , Anindya S. Chakrabarti , Anirban Chakraborti , Tushar Nandi

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

Critical for policy-making and business operations, the study of global supply chains has been severely hampered by a lack of detailed data. Here we harness international firm-level transaction data covering 20m global firms, and 1 billion…

General Economics · Economics 2025-11-24 Neave O'Clery , Ben Radcliffe-Brown , Thomas Spencer , Daniel Tarling-Hunter

Much of the research on networks using patent data focuses on citations and the collaboration networks of inventors, hence regarding patents as a positive sign of invention. However, patenting is, most importantly, a strategic action used…

Physics and Society · Physics 2020-09-10 Tomomi Kito , Nagi Moriya , Junichi Yamanoi

The design of robust supply and distribution systems is one of the fundamental challenges at the interface of network science and logistics. Given the multitude of performance criteria, real-world constraints, and external influences acting…

Social and Information Networks · Computer Science 2021-12-07 Alexey Lyutov , Yilmaz Uygun , Marc-Thorsten Hütt

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

Much of the analysis of economic growth has focused on the study of aggregate output. Here, we deviate from this tradition and look instead at the structure of output embodied in the network connecting countries to the products that they…

General Finance · Quantitative Finance 2012-03-02 Ricardo Hausmann , Cesar A. Hidalgo

The ability to detect weak distributed activation patterns in networks is critical to several applications, such as identifying the onset of anomalous activity or incipient congestion in the Internet, or faint traces of a biochemical spread…

Information Theory · Computer Science 2010-03-02 Aarti Singh , Robert D. Nowak , Robert Calderbank

We model an economy-wide production network by cascading binary compounding functions, based on the sequential processing nature of the production activities. As we observe a hierarchy among the intermediate processes spanning the empirical…

Economics · Quantitative Finance 2023-04-06 Satoshi Nakano , Kazuhiko Nishimura

Triadic closure, the formation of a connection between two nodes in a network sharing a common neighbor, is considered a fundamental mechanism determining the clustered nature of many real-world topologies. In this work we define a static…

Physics and Society · Physics 2024-02-16 Lorenzo Cirigliano , Claudio Castellano , Gareth Baxter , Gábor Timár

Most biological processes are described as a series of interactions between proteins and other molecules, and interactions are in turn described in terms of atomic structures. To annotate protein functions as sets of interaction states at…

Biomolecules · Quantitative Biology 2012-02-13 Akira R. Kinjo , Haruki Nakamura

Can the knowledge base of an economy be measured? In this study, we combine the perspective of regional economics on the interrelationships among technology, organization, and territory with the triple-helix model, and offer the mutual…

Physics and Society · Physics 2009-11-19 Loet Leydesdorff , Wilfred Dolfsma , Gerben van der Panne
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