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Dominating scale-free networks with variable scaling exponent: heterogeneous networks are not difficult to control

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TLDR
This work addresses complex network controllability from the perspective of the minimum dominating set (MDS) and shows that the more heterogeneous a network degree distribution is, the easier it is to control the entire system.
Abstract
The possibility of controlling and directing a complex system's behavior at will is rooted in its interconnectivity and can lead to significant advances in disparate fields, ranging from nationwide energy saving to therapies that involve multiple targets. In this work, we address complex network controllability from the perspective of the minimum dominating set (MDS). Our theoretical calculations, simulations using artificially generated networks as well as real-world network analyses show that the more heterogeneous a network degree distribution is, the easier it is to control the entire system. We demonstrate that relatively few nodes are needed to control the entire network if the power-law degree exponent is smaller than 2, whereas many nodes are required if it is larger than 2.

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Journal ArticleDOI

Control Principles of Complex Networks

TL;DR: Recent advances on the controllability and the control of complex networks are reviewed, exploring the intricate interplay between a system's structure, captured by its network topology, and the dynamical laws that govern the interactions between the components.
Journal ArticleDOI

Data based identification and prediction of nonlinear and complex dynamical systems

TL;DR: The recent advances in this forefront and rapidly evolving field of reconstructing nonlinear and complex dynamical systems from measured data or time series are reviewed, aiming to cover topics such as compressive sensing, noised-induced dynamical mapping, perturbations, reverse engineering, synchronization, inner composition alignment, global silencing and Granger Causality.
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Controllability analysis of the directed human protein interaction network identifies disease genes and drug targets

TL;DR: It is found that 21% of the proteins in the PPI network are indispensable, Interestingly, these indispensable proteins are the primary targets of disease-causing mutations, human viruses, and drugs, suggesting that altering a network’s control property is critical for the transition between healthy and disease states.
Journal ArticleDOI

Controllability in protein interaction networks

TL;DR: Minimum dominating sets of proteins (MDSets) were determined, proteins that play a role in the control of the underlying interaction webs in human and yeast protein interaction networks and were found that MDSet proteins were enriched with essential, cancer-related, and virus-targeted genes.
Journal ArticleDOI

Data Based Identification and Prediction of Nonlinear and Complex Dynamical Systems

TL;DR: The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and economics.
References
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Journal ArticleDOI

Statistical mechanics of complex networks

TL;DR: In this paper, a simple model based on the power-law degree distribution of real networks was proposed, which was able to reproduce the power law degree distribution in real networks and to capture the evolution of networks, not just their static topology.
Journal ArticleDOI

The Structure and Function of Complex Networks

Mark Newman
- 01 Jan 2003 - 
TL;DR: Developments in this field are reviewed, including such concepts as the small-world effect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks.
Book

Networks: An Introduction

Mark Newman
TL;DR: This book brings together for the first time the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.
Journal ArticleDOI

Power-Law Distributions in Empirical Data

TL;DR: This work proposes a principled statistical framework for discerning and quantifying power-law behavior in empirical data by combining maximum-likelihood fitting methods with goodness-of-fit tests based on the Kolmogorov-Smirnov (KS) statistic and likelihood ratios.
Journal ArticleDOI

Power laws, Pareto distributions and Zipf's law

Mark Newman
- 01 Sep 2005 - 
TL;DR: Some of the empirical evidence for the existence of power-law forms and the theories proposed to explain them are reviewed.
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How many nodes can be connected in LIN network?

We demonstrate that relatively few nodes are needed to control the entire network if the power-law degree exponent is smaller than 2, whereas many nodes are required if it is larger than 2.