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Based on the misleading expectation that weighted network properties always offer a more complete description than purely topological ones, current economic models of the International Trade Network (ITN) generally aim at explaining local…

Physics and Society · Physics 2014-01-14 Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

We have recently introduced Forman's discretization of Ricci curvature to the realm of complex networks. Forman curvature is an edge-based measure whose mathematical definition elegantly encapsulates the weights of nodes and edges in a…

Molecular Networks · Quantitative Biology 2017-06-01 R. P. Sreejith , Jürgen Jost , Emil Saucan , Areejit Samal

This paper proposes an attributed network growth model. Despite the knowledge that individuals use limited resources to form connections to similar others, we lack an understanding of how local and resource-constrained mechanisms explain…

Social and Information Networks · Computer Science 2019-04-17 Harshay Shah , Suhansanu Kumar , Hari Sundaram

The importance of studying properties of networks is manifest in diverse fields ranging from biology, engineering, physics, chemistry, neuroscience, and medicine. The functionality of networks with regard to performance, throughput,…

Molecular Networks · Quantitative Biology 2015-03-27 Allen Tannenbaum , Chris Sander , Liangjia Zhu , Romeil Sandhu , Ivan Kolesov , Eduard Reznik , Yasin Senbabaoglu , Tryphon Georgiou

A network's assortativity is the tendency of vertices to bond with others based on similarities, usually excess vertex degree. In this paper we consider assortativity in weighted networks, both directed and undirected. To this end, we…

Physics and Society · Physics 2022-07-20 Uta Pigorsch , Marc Sabek

Assortativity measures the tendency of a vertex in a network being connected by other vertexes with respect to some vertex-specific features. Classical assortativity coefficients are defined for unweighted and undirected networks with…

Applications · Statistics 2021-01-15 Yelie Yuan , Jun Yan , Panpan Zhang

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Changsong Zhou , Adilson E. Motter , Jurgen Kurths

Complex systems can be effectively modeled via graphs that encode networked interactions, where relations between entities or nodes are often quantified by signed edge weights, e.g., promotion/inhibition in gene regulatory networks, or…

Optimization and Control · Mathematics 2024-04-05 Anqi Dong , Can Chen , Tryphon T. Georgiou

Identifying influential node groups in complex networks is crucial for optimizing information dissemination, epidemic control, and viral marketing. However, traditional centrality-based methods often focus on individual nodes, resulting in…

Social and Information Networks · Computer Science 2025-11-11 Wenxin Zheng , Wenfeng Shi , Tianlong Fan , Linyuan Lü

Great part of the interest in complex networks has been motivated by the presence of structured, frequently non-uniform, connectivity. Because diverse connectivity patterns tend to result in distinct network dynamics, and also because they…

Disordered Systems and Neural Networks · Physics 2009-11-13 Paulino R. Villas Boas , Francisco A. Rodrigues , Gonzalo Travieso , Luciano da F. Costa

Comparing weighted networks in neuroscience is hard, because the topological properties of a given network are necessarily dependent on the number of edges of that network. This problem arises in the analysis of both weighted and unweighted…

Applications · Statistics 2014-03-28 Cedric E. Ginestet , Arnaud P. Fournel , Andrew Simmons

Clustering is a fundamental task in network analysis, essential for uncovering hidden structures within complex systems. Edge clustering, which focuses on relationships between nodes rather than the nodes themselves, has gained increased…

Computation · Statistics 2025-07-14 Haomin Li , Daniel K. Sewell

Inspired by studies on airline networks we propose a general model for weighted networks in which topological growth and weight dynamics are both determined by cost adversarial mechanism. Since transportation networks are designed and…

Physics and Society · Physics 2007-12-10 Yihong Hu , Daoli Zhu , Yang Li , Bing Su , Bingxin Zhu

The connectivity properties of a weight-bearing network are exploited to enhance it's capacity. We study a 2-d network of sites where the weight-bearing capacity of a given site depends on the capacities of the sites connected to it in the…

Condensed Matter · Physics 2009-11-10 T. M. Janaki , Neelima Gupte

Power law distribution is common in real-world networks including online social networks. Many studies on complex networks focus on the characteristics of vertices, which are always proved to follow the power law. However, few researches…

Social and Information Networks · Computer Science 2015-06-12 Xiaohan Wang , Zhaoqun Chen , Pengfei Liu , Yuantao Gu

This paper employs a weighted network approach to study the empirical properties of the web of trade relationships among world countries, and its evolution over time. We show that most countries are characterized by weak trade links; yet,…

Social and Information Networks · Computer Science 2018-03-21 Maddalena D'Anna , Alfredo Petrosino

Complex networks provide powerful tools for analyzing and understanding the intricate structures present in various systems, including natural language. Here, we analyze topology of growing word-adjacency networks constructed from Chinese…

Computation and Language · Computer Science 2026-01-13 Jakub Dec , Michał Dolina , Stanisław Drożdż , Jarosław Kwapień , Jin Liu , Tomasz Stanisz

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

Physics and Society · Physics 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

A spatial scale-free network is introduced and studied whose motivation has been originated in the growing Internet as well as the Airport networks. We argue that in these real-world networks a new node necessarily selects one of its…

Statistical Mechanics · Physics 2009-11-11 G. Mukherjee , S. S. Manna

Networks are a fundamental tool for understanding and modeling complex systems in physics, biology, neuroscience, engineering, and social science. Many networks are known to exhibit rich, lower-order connectivity patterns that can be…

Social and Information Networks · Computer Science 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec