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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…

社会与信息网络 · 计算机科学 2015-06-12 Xiaohan Wang , Zhaoqun Chen , Pengfei Liu , Yuantao Gu

Over the past decade network theory has turned out to be a powerful methodology to investigate complex systems of various sorts. Through data analysis, modeling, and simulation quite an unparalleled insight into their structure, function,…

物理与社会 · 物理学 2010-07-16 Kimmo Kaski

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

神经元与认知 · 定量生物学 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

In this technical note, we study the controllability of diffusively coupled networks from a graph theoretic perspective. We consider leader-follower networks, where the external control inputs are injected to only some of the agents, namely…

系统与控制 · 计算机科学 2016-08-17 A. Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of…

无序系统与神经网络 · 物理学 2007-05-23 Chuan-Ji Fu , Qing Ou , Wen Chen , Bing-Hong Wang , Ying-Di Jin , Yong-Wei Niu , Tao Zhou

Given any complex directed network, a set of acyclic subgraphs - the hierarchical backbone of the network - can be extracted that will provide valuable information about its hierarchical structure. The current paper presents how the…

统计力学 · 物理学 2007-05-23 Luciano da Fontoura Costa

A major problem in the study of complex socioeconomic systems is represented by privacy issues$-$that can put severe limitations on the amount of accessible information, forcing to build models on the basis of incomplete knowledge. In this…

Confining an answer to the question whether and how the coherent operation of network elements is determined by the the network structure is the topic of our work. We map the structure of signal flow in directed networks by analysing the…

数据分析、统计与概率 · 物理学 2011-06-22 M. Bányai , L. Négyessy , F. Bazsó

Manipulation is an important issue for both developed and emerging stock markets. For the study of manipulation, it is critical to analyze investor behavior in the stock market. In this paper, an analysis of the full transaction records of…

交易与市场微观结构 · 定量金融 2011-10-12 Xiao-Qian Sun , Xue-Qi Cheng , Hua-Wei Shen , Zhao-Yang Wang

In this paper we study the controllability of networked systems with static network topologies using tools from algebraic graph theory. Each agent in the network acts in a decentralized fashion by updating its state in accordance with a…

系统与控制 · 计算机科学 2013-02-12 Ahmet Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

无序系统与神经网络 · 物理学 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

The possibility to analyze everyday monetary transactions is limited by the scarcity of available data, as this kind of information is usually considered highly sensitive. Present econophysics models are usually employed on presumed random…

物理与社会 · 物理学 2014-04-01 Dániel Kondor , Márton Pósfai , István Csabai , Gábor Vattay

We introduce a new framework for the analysis of the dynamics of networks, based on randomly reinforced urn (RRU) processes, in which the weight of the edges is determined by a reinforcement mechanism. We rigorously explain the empirical…

物理与社会 · 物理学 2012-03-08 Guido Caldarelli , Alessandro Chessa , Irene Crimaldi , Fabio Pammolli

Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous media or plasmodial shuttle streaming in slime molds.…

生物物理 · 物理学 2016-07-28 Francis G. Woodhouse , Aden Forrow , Joanna B. Fawcett , Jörn Dunkel

We explore one aspect of the structure of a codified legal system at the national level using a new type of representation to understand the strong or weak dependencies between the various fields of law. In Part I of this study, we analyze…

社会与信息网络 · 计算机科学 2012-01-06 Romain Boulet

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

统计力学 · 物理学 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

Complex systems and relational data are often abstracted as dynamical processes on networks. To understand, predict and control their behavior, a crucial step is to extract reduced descriptions of such networks. Inspired by notions from…

社会与信息网络 · 计算机科学 2019-06-26 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

Air transportation has been becoming a major part of transportation infrastructure worldwide. Hence the study of the Airports Networks, the backbone of air transportation, is becoming increasingly important. In complex systems domain,…

物理与社会 · 物理学 2008-05-08 Ganesh Bagler

A model of distribution of the wealth in a society based on the properties of complex networks has been proposed. The wealth is interpreted as a consequence of communication possibilities and proportional to the number of connections…

物理与社会 · 物理学 2010-10-12 D. Lande , A. Snarskii , M. Zhenirovskyy

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

统计力学 · 物理学 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley