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We introduce Loop Ranking, a new ranking measure based on the detection of closed paths, which can be computed in an efficient way. We analyze it with respect to several ranking measures which have been proposed in the past, and are widely…

无序系统与神经网络 · 物理学 2013-05-29 Valery Van Kerrebroeck , Enzo Marinari

Notwithstanding the usefulness of system dynamics in analyzing complex policy problems, policy design is far from straightforward and in many instances trial-and-error driven. To address this challenge, we propose to combine system dynamics…

物理与社会 · 物理学 2017-11-15 Lukas Schoenenberger , Radu Tanase

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

数据结构与算法 · 计算机科学 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

This paper studies the distribution of a family of rankings, which includes Google's PageRank, on a directed configuration model. In particular, it is shown that the distribution of the rank of a randomly chosen node in the graph converges…

概率论 · 数学 2014-10-14 Ningyuan Chen , Nelly Litvak , Mariana Olvera-Cravioto

Most research concerning the influence of network structure on phenomena taking place on the network focus on relationships between global statistics of the network structure and characteristic properties of those phenomena, even though…

社会与信息网络 · 计算机科学 2012-03-07 Tomoyuki Yuasa , Susumu Shirayama

The increasing deployment of end use power resources in distribution systems created active distribution systems. Uncontrolled active distribution systems exhibit wide variations of voltage and loading throughout the day as some of these…

系统与控制 · 电气工程与系统科学 2022-08-01 Matthew Lau , Kayla Thames , Sakis Meliopoulos

Network control refers to a very large and diverse set of problems including controllability of linear time-invariant dynamical systems, where the objective is to select an appropriate input to steer the network to a desired state. There…

数据结构与算法 · 计算机科学 2016-03-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

系统与控制 · 计算机科学 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

The lack of studying the complex organization of directed network usually limits to the understanding of underlying relationship between network structures and functions. Structural controllability and structural predictability, two…

物理与社会 · 物理学 2022-03-31 Fei Jing , Chuang Liu , Jian-Liang Wu , Zi-Ke Zhang

The aim of this paper is to shed light on the problem of controlling a complex network with minimal control energy. We show first that the control energy depends on the time constant of the modes of the network, and that the closer the…

系统与控制 · 计算机科学 2018-03-12 Gustav Lindmark , Claudio Altafini

The roles of different nodes within a network are often understood through centrality analysis, which aims to quantify the capacity of a node to influence, or be influenced by, other nodes via its connection topology. Many different…

社会与信息网络 · 计算机科学 2020-07-01 Stuart Oldham , Ben Fulcher , Linden Parkes , Aurina Arnatkeviciute , Chao Suo , Alex Fornito

Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173,…

In network control theory, driving all the nodes in the Feedback Vertex Set (FVS) forces the network into one of its attractors (long-term dynamic behaviors). The FVS is often composed of more nodes than can be realistically manipulated in…

定量方法 · 定量生物学 2022-06-15 Eli Newby , Jorge Gómez Tejda Zañudo , Réka Albert

Identifying the node spreading influence in networks is an important task to optimally use the network structure and ensure the more efficient spreading in information. In this paper, by taking into account the shortest distance between a…

物理与社会 · 物理学 2015-06-22 Jian-Guo Liu , Zhuo-Ming Ren , Qiang Guo

Controlling a complex network towards a desired state is of great importance in many applications. A network can be controlled by inputting suitable external signals into some selected nodes, which are called driver nodes. Previous works…

系统与控制 · 电气工程与系统科学 2022-06-07 Xizhe Zhang , Yuyan Zhu , Yongkang Zhao

Influence maximization is the task of selecting a small number of seed nodes in a social network to maximize the influence spread from these seeds. It has been widely investigated in the past two decades. In the canonical setting, the…

社会与信息网络 · 计算机科学 2022-02-21 Zhijie Zhang , Wei Chen , Xiaoming Sun , Jialin Zhang

In this paper we elaborate upon a measure of node influence in social networks, which was recently proposed by Vassio et al., IEEE Trans. Control Netw. Syst., 2014. This measure quantifies the ability of the node to sway the average opinion…

最优化与控制 · 数学 2016-11-10 Wilbert Samuel Rossi , Paolo Frasca

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

系统与控制 · 计算机科学 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

Much work in Social Network Analysis has focused on the identification of the most important actors in a social network. This has resulted in several measures of influence and authority. While most of such sociometrics (e.g., PageRank) are…

社会与信息网络 · 计算机科学 2011-08-25 Karthik Subbian , Prem Melville

In this paper, we propose a novelty-based metric for quantitative characterization of the controllability of complex networks. This inherently bounded metric describes the average angular separation of an input with respect to the past…

最优化与控制 · 数学 2014-09-30 Gautam Kumar , Delsin Menolascino , MohammadMehdi Kafashan , ShiNung Ching