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While shorter characteristic path length has in general been believed to enhance synchronizability of a coupled oscillator system on a complex network,the suppressing tendency of the heterogeneity of the degree distribution, even for…

Statistical Mechanics · Physics 2009-11-10 H. Hong , Beom Jun Kim , M. Y. Choi , Hyunggyu Park

The principle of similarity, or homophily, is often used to explain patterns observed in complex networks such as transitivity and the abundance of triangles (3-cycles). However, many phenomena from division of labor to protein-protein…

Physics and Society · Physics 2022-10-12 Szymon Talaga , Andrzej Nowak

The cluster analysis methods are used in order to perform a comparative study of 15 EU countries in relation with the fluctuations of some basic macroeconomic indicators. The statistical distances between countries are calculated for…

General Finance · Quantitative Finance 2010-03-16 Mircea Gligor , Marcel Ausloos

The rate of adoption of new information depends on reinforcement from multiple sources in a way that often cannot be described by simple contagion processes. In such cases, contagion is said to be complex. Complex contagion happens in the…

Physics and Society · Physics 2019-06-21 Vítor V. Vasconcelos , Simon A. Levin , Flávio L. Pinheiro

Determining the key elements of interconnected infrastructure and complex systems is paramount to ensure system functionality and integrity. This work quantifies the dominance of the networks' nodes in their respective neighborhoods,…

Physics and Society · Physics 2023-11-30 Marcus Engsig , Alejandro Tejedor , Yamir Moreno , Efi Foufoula-Georgiou , Chaouki Kasmi

Collective systems that self-organise to maximise the group's ability to collect and distribute information can be successful in environments with high spatial and temporal variation. Such organisations are abundant in nature, as sharing…

Populations and Evolution · Quantitative Biology 2025-10-28 R. S. Walker , G. Ramos-Fernandez , D. Boyer , S. E. Smith-Aguilar , X. O'Neill , M. J. Silk

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger,…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Amahury Jafet López-Díaz , Fernanda Sánchez-Puig , Carlos Gershenson

The ability to achieve coordinated behavior --engineered or emergent-- on networked systems has attracted widespread interest over several fields. This has led to remarkable advances on the development of a theoretical understanding of the…

Systems and Control · Computer Science 2019-09-16 Hancheng Min , Enrique Mallada

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

The aim of this paper is to rigorously study dynamics of Heterogeneously Coupled Maps (HCM). Such systems are determined by a network with heterogeneous degrees. Some nodes, called hubs, are very well connected while most nodes interact…

Dynamical Systems · Mathematics 2017-12-20 Tiago Pereira , Sebastian van Strien , Matteo Tanzi

In this paper the web is analyzed as a graph aggregated by host and pay-level domain (PLD). The web graph datasets, publicly available, have been released by the Common Crawl Foundation and are based on a web crawl performed during the…

Social and Information Networks · Computer Science 2019-03-13 Agostino Funel

Firms with different ownership structures could be argued to have different levels of efficiency.Highly concentrated firms are expected to be more efficient as this type of ownership structure may alleviate the conflict of interest between…

General Finance · Quantitative Finance 2020-01-17 Sallahuddin Hassan , Zalila Othman , Mukaramah Harun

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

Social and Information Networks · Computer Science 2013-11-08 Paolo Boldi , Sebastiano Vigna

We investigate the relationship between the emergence of chaos synchronization and the information flow in dynamical systems possessing homogeneous or heterogeneous global interactions whose origin can be external (driven systems) or…

Chaotic Dynamics · Physics 2015-06-16 G. Paredes , O. Alvarez-Llamoza , M. G. Cosenza

Trophic coherence, a measure of a graph's hierarchical organisation, has been shown to be linked to a graph's structural and dynamical aspects such as cyclicity, stability and normality. Trophic levels of vertices can reveal their…

Physics and Society · Physics 2020-10-08 Giannis Moutsinas , Choudhry Shuaib , Weisi Guo , Stephen Jarvis

Science and technology systems - and their epistemic communities - are usually hierarchical and composed of a number of strong, large, leading organizations, along with a number of smaller and less influential ones. Moreover, these…

Physics and Society · Physics 2011-12-13 Stefan Hennemann , Tao Wang , Ingo Liefner

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

Adaptation and Self-Organizing Systems · Physics 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

Data analysis and data mining are concerned with unsupervised pattern finding and structure determination in data sets. "Structure" can be understood as symmetry and a range of symmetries are expressed by hierarchy. Such symmetries directly…

Machine Learning · Statistics 2015-03-17 Fionn Murtagh , Pedro Contreras

Data uniformity is a concept associated with several semantic data characteristics such as lack of features, correlation and sample bias. This article introduces a novel measure to assess data uniformity and detect uniform pointsets on…

Computational Geometry · Computer Science 2020-04-14 Panagiotis Sidiropoulos
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