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Real-world networks are neither regular nor random, a fact elegantly explained by mechanisms such as the Watts-Strogatz or the Barabasi-Albert models, among others. Both mechanisms naturally create shortcuts and hubs, which while enhancing…

物理与社会 · 物理学 2023-07-03 Ernesto Estrada , Jesús Gómez-Gardeñes , Lucas Lacasa

Various hypotheses exist about the paths used for communication between the nodes of complex networks. Most studies simply suppose that communication goes via shortest paths, while others have more explicit assumptions about how routing…

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

神经元与认知 · 定量生物学 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

种群与进化 · 定量生物学 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

We study the topology of several music recommendation networks, which rise from relationships between artist, co-occurrence of songs in playlists or experts' recommendation. The analysis uncovers the emergence of complex network phenomena…

物理与社会 · 物理学 2012-05-14 Pedro Cano , Oscar Celma , Markus Koppenberger , Javier M. Buldú

Although most networks in nature exhibit complex topology the origins of such complexity remains unclear. We introduce a model of a growing network of interacting agents in which each new agent's membership to the network is determined by…

无序系统与神经网络 · 物理学 2009-09-02 J. I. Perotti , O. V. Billoni , F. A. Tamarit , D. R. Chialvo , S. A. Cannas

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

无序系统与神经网络 · 物理学 2009-10-31 Stefan Bornholdt , Thimo Rohlf

The advent of Internet and World Wide Web has led to unprecedent growth of the information available. People usually face the information overload by following a limited number of sources which best fit their interests. It has thus become…

物理与社会 · 物理学 2015-05-28 Giulio Cimini , Duanbing Chen , Matus Medo , Linyuan Lu , Yi-Cheng Zhang , Tao Zhou

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

社会与信息网络 · 计算机科学 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

In this paper, a new framework to study weighed networks is introduced. The idea behind this methodology is to consider that each node of the network is an agent that desires to satisfy his/her preferences in an economic sense. Moreover,…

物理与社会 · 物理学 2009-11-11 Daniel O. Cajueiro

We show analytically that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our findings are based on an exactly solvable model system which mimics a…

物理与社会 · 物理学 2016-09-08 Timothy C. Jarrett , Douglas J. Ashton , Mark Fricker , Neil F. Johnson

It is now generally assumed that the heterogeneity of most networks in nature probably arises via preferential attachment of some sort. However, the origin of various other topological features, such as degree-degree correlations and…

适应与自组织系统 · 物理学 2010-03-05 Samuel Johnson , J. Marro , Joaquin J. Torres

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

无序系统与神经网络 · 物理学 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

统计力学 · 物理学 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

物理与社会 · 物理学 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

适应与自组织系统 · 物理学 2017-11-28 Erik Andreas Martens , Konstantin Klemm

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

计算机视觉与模式识别 · 计算机科学 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

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

Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

社会与信息网络 · 计算机科学 2010-09-15 Bo Yang , Jiming Liu

The structure and design of optimal supply networks is an important topic in complex networks research. A fundamental trait of natural and man-made networks is the emergence of loops and the trade-off governing their formation: adding…

物理与社会 · 物理学 2020-11-25 Franz Kaiser , Henrik Ronellenfitsch , Dirk Witthaut