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In this paper we present an empirical study of the worldwide maritime transportation network (WMN) in which the nodes are ports and links are container liners connecting the ports. Using the different representation of network topology…

物理与社会 · 物理学 2009-11-13 Yihong Hu , Daoli Zhu

A number of important transport networks, such as the airline and trade networks of the world, exhibit a characteristic core-periphery structure, wherein a few nodes are highly interconnected and the rest of the network frays into a tree.…

物理与社会 · 物理学 2016-02-17 T. Verma , F. Russmann , N. A. M. Araújo , J. Nagler , H. J. Herrmann

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

统计力学 · 物理学 2015-06-24 M. E. J. Newman

We present a subjective selection of methods for complex systems analysis ranging from statistical tools through numerical methods based on AI to both linear and non-linear ODEs and PDEs. All the notions apply the network structure and are…

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

统计力学 · 物理学 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

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…

物理与社会 · 物理学 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

统计力学 · 物理学 2009-11-10 M. E. J. Newman

Recent results from statistical physics show that large classes of complex networks, both man-made and of natural origin, are characterized by high clustering properties yet strikingly short path lengths between pairs of nodes. This class…

信息论 · 计算机科学 2016-11-17 Rui A. Costa , Joao Barros

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

网络与互联网体系结构 · 计算机科学 2007-09-18 Yufang Xi , Edmund M. Yeh

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…

社会与信息网络 · 计算机科学 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

物理与社会 · 物理学 2024-02-29 Lucas Böttcher , Mason A. Porter

We analyze the multilayer architecture of the global input-output network using sectoral trade data (WIOD, 2016 release). With a focus on the mesoscale structure and related properties, our multilayer analysis takes into consideration the…

计量经济学 · 经济学 2022-11-10 Rosanna Grassi , Paolo Bartesaghi , Gian Paolo Clemente , Duc Thi Luu

We address a fundamental problem that is systematically encountered when modeling complex systems: the limitedness of the information available. In the case of economic and financial networks, privacy issues severely limit the information…

物理与社会 · 物理学 2015-12-07 Giulio Cimini , Tiziano Squartini , Diego Garlaschelli , Andrea Gabrielli

This paper leverages linear systems theory to propose a principled measure of complexity for network systems. We focus on a network of first-order scalar linear systems interconnected through a directed graph. By locally filtering out the…

系统与控制 · 电气工程与系统科学 2025-07-10 Giacomo Baggio , Marco Fabris

Real complex systems are not rigidly structured; no clear rules or blueprints exist for their construction. Yet, amidst their apparent randomness, complex structural properties universally emerge. We propose that an important class of…

Routing information through networks is a universal phenomenon in both natural and manmade complex systems. When each node has full knowledge of the global network connectivity, finding short communication paths is merely a matter of…

物理与社会 · 物理学 2009-05-20 Marian Boguna , Dmitri Krioukov , kc claffy

Balance theory explains the forces behind the structure of social systems, which are commonly modeled as static undirected signed networks. We expand this modeling approach to incorporate directionality of edges, and consider three levels…

社会与信息网络 · 计算机科学 2020-07-21 Samin Aref , Ly Dinh , Rezvaneh Rezapour , Jana Diesner

We derive the sampling properties of random networks based on weights whose pairwise products parameterize independent Bernoulli trials. This enables an understanding of many degree-based network models, in which the structure of realized…

统计理论 · 数学 2013-06-07 Sofia C. Olhede , Patrick J. Wolfe

In a stock market, the price fluctuations are interactive, that is, one listed company can influence others. In this paper, we seek to study the influence relationships among listed companies by constructing a directed network on the basis…

物理与社会 · 物理学 2015-06-24 Ya-Chun Gao , Yong Zeng , Shi-Min Cai

This paper studies the topological properties of the World Trade Web (WTW) and its evolution over time by employing a weighted network analysis. We show that the WTW, viewed as a weighted network, displays statistical features that are very…

综合金融 · 定量金融 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo