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A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network…

物理与社会 · 物理学 2013-01-16 Márton Pósfai , Yang-Yu Liu , Jean-Jacques Slotine , Albert-László Barabási

Network classification aims to group networks (or graphs) into distinct categories based on their structure. We study the connection between classification of a network and of its constituent nodes, and whether nodes from networks in…

社会与信息网络 · 计算机科学 2022-08-04 Saray Shai , Isaac Jacobs , Peter J. Mucha

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…

物理与社会 · 物理学 2014-09-19 Bin Zhou , Bing-Hong Wang , He Zhe

According to the exact controllability theory, the controllability is investigated analytically for two typical types of self-similar bipartite networks, i.e., the classic deterministic scale-free networks and Cayley trees. Due to their…

物理与社会 · 物理学 2015-07-02 Ming Xu , Chuan-Yun Xu , Huan Wang , Cong-Zheng Deng , Ke-Fei Cao

In practical terms, controlling a network requires manipulating a large number of nodes with a comparatively small number of external inputs, a process that is facilitated by paths that broadcast the influence of the (directly-controlled)…

适应与自组织系统 · 物理学 2017-12-19 Aming Li , Sean P. Cornelius , Yang-Yu Liu , Long Wang , Albert-László Barabási

The existence of inter-dependence between multiple networks imparts an additional scale of complexity to such systems often referred to as `network of networks' (NON). We have investigated the robustness of NONs to random breakdown of their…

物理与社会 · 物理学 2019-01-09 Aradhana Singh , Sitabhra Sinha

Recent work in the area of interdependent networks has focused on interactions between two systems of the same type. However, an important and ubiquitous class of systems are those involving monitoring and control, an example of…

无序系统与神经网络 · 物理学 2013-09-27 Richard G. Morris , Marc Barthelemy

We study the vulnerability of dominating sets against random and targeted node removals in complex networks. While small, cost-efficient dominating sets play a significant role in controllability and observability of these networks, a fixed…

物理与社会 · 物理学 2015-06-12 F. Molnar , N. Derzsy , B. K. Szymanski , G. Korniss

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

物理与社会 · 物理学 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

The recent paper by W.-X. Wang, Y.-C. Lai, J. Ren, B. Li & C. Grebogi [arXiv:1107.2177v1] proposed a method for the control of complex networks with nonlinear dynamics based on linearizing the system around a finite number of local desired…

无序系统与神经网络 · 物理学 2011-09-01 Jie Sun , Sean P. Cornelius , William L. Kath , Adilson E. Motter

The level sets of neural networks represent fundamental properties such as decision boundaries of classifiers and are used to model non-linear manifold data such as curves and surfaces. Thus, methods for controlling the neural level sets…

机器学习 · 计算机科学 2019-10-29 Matan Atzmon , Niv Haim , Lior Yariv , Ofer Israelov , Haggai Maron , Yaron Lipman

We consider a cost sharing problem on a weighted undirected graph, where all the nodes want to connect to a special node called source, and they need to share the total cost (weights) of the used edges. Each node except for the source has a…

计算机科学与博弈论 · 计算机科学 2023-03-07 Tianyi Zhang , Junyu Zhang , Sizhe Gu , Dengji Zhao

To understand the controllability of complex networks is a forefront problem relevant to different fields of science and engineering. Despite recent advances in network controllability theories, an outstanding issue is to understand the…

物理与社会 · 物理学 2016-07-01 Zhesi Shen , Wen-Xu Wang , Chen Zhao , Ying-Cheng Lai

We study the resilience of complex networks against attacks in which nodes are targeted intelligently, but where disabling a node has a cost to the attacker which depends on its degree. Attackers have to meet these costs with limited…

物理与社会 · 物理学 2015-05-19 A Annibale , A C C Coolen , G Bianconi

In complex scale-free networks, ranking the individual nodes based upon their importance has useful applications, such as the identification of hubs for epidemic control, or bottlenecks for controlling traffic congestion. However, in most…

物理与社会 · 物理学 2007-05-23 Pan-Jun Kim , Hawoong Jeong

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

社会与信息网络 · 计算机科学 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

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

In wireless networks relay nodes can be used to assist the users' transmissions to reach their destination. Work on relay cooperation, from a physical layer perspective, has up to now yielded well-known results. This paper takes a different…

网络与互联网体系结构 · 计算机科学 2015-06-23 Georgios Papadimitriou , Nikolaos Pappas , Apostolos Traganitis , Vangelis Angelakis

Network science have constantly been in the focus of research for the last decade, with considerable advances in the controllability of their structural. However, much less effort has been devoted to study that how to improve the…

系统与控制 · 计算机科学 2016-10-12 Jiuqiang Xu , Jinfa Wang , Hai Zhao , Siyuan Jia

We consider the problem of cross-layer resource allocation in time-varying cellular wireless networks, and incorporate information theoretic secrecy as a Quality of Service constraint. Specifically, each node in the network injects two…

信息论 · 计算机科学 2015-03-17 C. Emre Koksal , Ozgur Ercetin , Yunus Sarikaya