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Power grids are undergoing major changes from a few large producers to smart grids build upon renewable energies. Mathematical models for power grid dynamics have to be adapted to capture, when dynamic nodes can achieve synchronization to a…

动力系统 · 数学 2018-07-11 Christian Kuehn , Sebastian Throm

We investigate certain structural properties of random interdependent networks. We start by studying a property known as $r$-robustness, which is a strong indicator of the ability of a network to tolerate structural perturbations and…

社会与信息网络 · 计算机科学 2015-08-18 Ebrahim Moradi Shahrivar , Mohammad Pirani , Shreyas Sundaram

Genetic regulatory networks are defined by their topology and by a multitude of continuously adjustable parameters. Here we present a class of simple models within which the relative importance of topology vs. interaction strengths becomes…

分子网络 · 定量生物学 2013-08-02 Mikhail Tikhonov , William Bialek

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

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

最优化与控制 · 数学 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

物理与社会 · 物理学 2010-09-23 A. Yazdani , P. Jeffrey

There are few studies that look closely at how the topology of the Internet evolves over time; most focus on snapshots taken at a particular point in time. In this paper, we investigate the evolution of the topology of the Autonomous…

网络与互联网体系结构 · 计算机科学 2012-02-20 Benjamin Edwards , Steven Hofmeyr , George Stelle , Stephanie Forrest

We investigate networks of automata that synchronise over common action labels. A graph synchronisation topology between the automata is defined in such a way that two automata are connected iff they can synchronise over an action. We show…

计算机科学中的逻辑 · 计算机科学 2020-12-10 Laure Petrucci , Michał Knapik

Power system communication networks enable operators to remotely monitor and control field equipment. The sophistication of these networks is also increasing as operators continue the trend towards digitization, which is beneficial in…

系统与控制 · 电气工程与系统科学 2024-10-15 Xavier Weiss , Lars Nordström , Patrik Hilber , Emre Süren

We study the structure and evolution of the Internet's Autonomous System (AS) interconnection topology as a game with heterogeneous players. In this network formation game, the utility of a player depends on the network structure, e.g., the…

计算机科学与博弈论 · 计算机科学 2014-04-23 Eli. A. Meirom , Shie Mannor , Ariel Orda

The models of the Internet reported in the literature are mainly aimed at reproducing the scale-free structure, the high clustering coefficient and the small world effects found in the real Internet, while other important properties (e.g.…

物理与社会 · 物理学 2011-11-10 F. A. Rodrigues , P. R. Villas Boas , G. Travieso , L. da F. Costa

Efficient control of power systems is becoming increasingly difficult as they gain in complexity and size. We propose an automatic control strategy that regulates the mechanical power output of the generators in a power grid based on…

系统与控制 · 计算机科学 2014-10-09 Andrej Gajduk , Mirko Todorovski , Ljupco Kocarev

While the statistical and resilience properties of the Internet are no more changing significantly across time, the Darknet, a network devoted to keep anonymous its traffic, still experiences rapid changes to improve the security of its…

物理与社会 · 物理学 2017-04-05 M. De Domenico , A. Arenas

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

社会与信息网络 · 计算机科学 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

Understanding network structure and having access to realistic graphs plays a central role in computer and social networks research. In this paper, we propose a complete, and practical methodology for generating graphs that resemble a real…

社会与信息网络 · 计算机科学 2012-08-21 Minas Gjoka , Maciej Kurant , Athina Markopoulou

A complex network is said to show topological isotropy if the topological structure around a particular node looks the same in all directions of the whole network. Topologically anisotropic networks are those where the local neighborhood…

统计力学 · 物理学 2013-04-02 Ernesto Estrada

In order to identify the extent to which results from topological graph models are useful for modeling vulnerability in electricity infrastructure, we measure the susceptibility of power networks to random failures and directed attacks…

物理与社会 · 物理学 2015-03-13 Paul Hines , Eduardo Cotilla-Sanchez , Seth Blumsack

We present a new, systematic approach for analyzing network topologies. We first introduce the dK-series of probability distributions specifying all degree correlations within d-sized subgraphs of a given graph G. Increasing values of d…

网络与互联网体系结构 · 计算机科学 2008-04-16 Priya Mahadevan , Dmitri Krioukov , Kevin Fall , Amin Vahdat

Whether comparing networks to each other or to random expectation, measuring dissimilarity is essential to understanding the complex phenomena under study. However, determining the structural dissimilarity between networks is an ill-defined…

社会与信息网络 · 计算机科学 2018-07-26 Leo Torres , Pablo Suarez-Serrato , Tina Eliassi-Rad

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