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The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

Network generators that capture the Internet's large-scale topology are crucial for the development of efficient routing protocols and modeling Internet traffic. Our ability to design realistic generators is limited by the incomplete…

Statistical Mechanics · Physics 2009-11-07 Soon-Hyung Yook , Hawoong Jeong , 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…

Physics and Society · Physics 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

We model the robustness against random failure or intentional attack of networks with arbitrary large-scale structure. We construct a block-based model which incorporates --- in a general fashion --- both connectivity and interdependence…

Physics and Society · Physics 2012-09-25 Tiago P. Peixoto , Stefan Bornholdt

The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

The network topology can be described by the number of nodes and the interconnections among them. The degree of a node in a network is the number of connections it has to other nodes and the degree distribution is the probability…

Physics and Society · Physics 2014-09-19 Bin Zhou , Bing-Hong Wang , He Zhe

Impact of an intruder on granular matter leads to formation of mesoscopic force networks seen particularly clearly in the recent experiments carried out with photoelastic particles, e.g., Clark et al., Phys. Rev. Lett., 114 144502 (2015).…

Soft Condensed Matter · Physics 2018-01-17 T. Tadanaga , Abram H. Clark , T. Majmudar , L. Kondic

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is proposed where the number of links, the average eccentricity and…

Physics and Society · Physics 2015-05-25 Sarah De Nigris , Xavier Leoncini

Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acyclic networks (i.e., trees) are optimal structures when…

Adaptation and Self-Organizing Systems · Physics 2019-12-05 Erik Andreas Martens , Konstantin Klemm

The design of robust supply and distribution systems is one of the fundamental challenges at the interface of network science and logistics. Given the multitude of performance criteria, real-world constraints, and external influences acting…

Social and Information Networks · Computer Science 2021-12-07 Alexey Lyutov , Yilmaz Uygun , Marc-Thorsten Hütt

Analytical description of propagation phenomena on random networks has flourished in recent years, yet more complex systems have mainly been studied through numerical means. In this paper, a mean-field description is used to coherently…

Statistical Mechanics · Physics 2010-10-08 Laurent Hébert-Dufresne , Pierre-André Noël , Vincent Marceau , Antoine Allard , Louis J. Dubé

Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Reka Albert , Albert-Laszlo Barabasi

The force networks of different granular ensembles are defined and their topological properties studied using the tools of complex networks. In particular, for each set of grains compressed in a square box, it is introduced a force…

Disordered Systems and Neural Networks · Physics 2007-09-18 Roberto Arevalo , Iker Zuriguel , Diego Maza

The human organism is an integrated network where complex physiologic systems, each with its own regulatory mechanisms, continuously interact, and where failure of one system can trigger a breakdown of the entire network. Identifying and…

Data Analysis, Statistics and Probability · Physics 2012-03-02 Amir Bashan , Ronny P. Bartsch , Jan W. Kantelhardt , Shlomo Havlin , Plamen Ch. Ivanov

In biological systems, the growth of cells, tissues, and organs is influenced by mechanical cues. Locally, cell growth leads to a mechanically heterogeneous environment as cells pull and push their neighbors in a cell network. Despite this…

Biological Physics · Physics 2021-03-17 Alexander Erlich , Gareth W. Jones , Françoise Tisseur , Derek E. Moulton , Alain Goriely

Transportation and distribution networks are a class of spatial networks that have been of interest in recent years. These networks are often characterized by the presence of complex structures such as central loops paired with peripheral…

Physics and Society · Physics 2023-01-23 Sebastiano Bontorin , Giulia Cencetti , Riccardo Gallotti , Bruno Lepri , Manlio De Domenico

Besides the complexity in time or in number of messages, a common approach for analyzing distributed algorithms is to look at the assumptions they make on the underlying network. We investigate this question from the perspective of network…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-02 Arnaud Casteigts , Serge Chaumette , Afonso Ferreira

This paper investigates the effect of network topology on the fair allocation of network resources among a set of agents, an all-important issue for the efficiency of transportation networks all around us. We analyse a generic mechanism…

Physics and Society · Physics 2015-05-30 Rui Carvalho , Lubos Buzna , Wolfram Just , Dirk Helbing , David K. Arrowsmith

The network of interactions in complex systems, strongly influences their resilience, the system capability to resist to external perturbations or structural damages and to promptly recover thereafter. The phenomenon manifests itself in…

Physics and Society · Physics 2018-04-11 Malbor Asllani , Timoteo Carletti