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The spread of ideas, behaviors, and technologies generally depends on feedback mechanisms operating across multiple scales. Previous studies have extensively examined pairwise transmission and local reinforcement. However, the role of…

Physics and Society · Physics 2025-12-18 Leyang Xue , Kai-Cheng Yang , Peng-Bi Cui , Zengru Di

Within the conventional statistical physics framework, we study critical phenomena in a class of configuration network models with hidden variables controlling links between pairs of nodes. We find analytical expressions for the average…

Physics and Society · Physics 2021-04-16 Alexander I. Nesterov , Pablo Héctor Mata Villafuerte

The "power of choice" has been shown to radically alter the behavior of a number of randomized algorithms. Here we explore the effects of choice on models of tree and network growth. In our models each new node has k randomly chosen…

Statistical Mechanics · Physics 2009-11-13 Raissa M. D'Souza , Paul L. Krapivsky , Cristopher Moore

Given a population of interconnected input-output agents repeatedly exposed to independent random inputs, we talk of correlated variability when agents' outputs are variable (i.e., they change randomly at each input repetition) but…

Quantitative Methods · Quantitative Biology 2021-10-15 Marcela Ordorica Arango , Alessio Franci

Introduced recently, the concept of hierarchical degree allows a more complete characterization of the topological context of a node in a complex network than the traditional node degree. This article presents analytical characterization…

Statistical Mechanics · Physics 2007-05-23 Matheus Palhares Viana , Luciano da Fontoura Costa

Scheduling control problems for a family of unitary networks under heavy traffic with general interarrival and service times, probabilistic routing and an infinite horizon discounted linear holding cost are studied. Diffusion control…

Probability · Mathematics 2012-05-07 Amarjit Budhiraja , Arka P. Ghosh

Vehicular Ad-hoc Networks (VANETs) serve as a critical enabler for intelligent transportation systems. However, their practical deployment faces a core governance dilemma: the network topology requires a dynamic trade-off between robustness…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Ruixing Ren , Junhui Zhao , Xiaoke Sun , Shanjin Ni

We reconsider the problem of percolation on an equilibrium random network with degree-degree correlations between nearest-neighboring vertices focusing on critical singularities at a percolation threshold. We obtain criteria for…

Statistical Mechanics · Physics 2009-11-13 A. V. Goltsev , S. N. Dorogovtsev , J. F. F. Mendes

A number of problems in communication systems demand the distributed allocation of network resources in order to provide better services, sampling and distribution methods. The solution to these issues is becoming more challenging due to…

Statistical Mechanics · Physics 2007-05-23 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno , Alexei Vazquez

In this paper, we propose an evolving network model growing fast in units of module, based on the analysis of the evolution characteristics in real complex networks. Each module is a small-world network containing several interconnected…

Physics and Society · Physics 2011-10-11 Zou Zhi-Yun , Liu Peng , Lei Li , Gao Jian-Zhi

Many weighted scale-free networks are known to have a power-law correlation between strength and degree of nodes, which, however, has not been well explicated. We investigate the dynamic behaviors of resource/traffic flow on scale-free…

Physics and Society · Physics 2009-11-11 Qing Ou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang , Bao-Qun Yin

We present a generator of random networks where both the degree-dependent clustering coefficient and the degree distribution are tunable. Following the same philosophy as in the configuration model, the degree distribution and the…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Angeles Serrano , Marian Boguna

We propose a maximally disassortative (MD) network model which realizes a maximally negative degree-degree correlation, and study its percolation transition to discuss the effect of a strong degree-degree correlation on the percolation…

Physics and Society · Physics 2020-02-11 Shogo Mizutaka , Takehisa Hasegawa

We study the strong structural controllability (SSC) of diffusively coupled networks, where the external control inputs are injected to only some nodes, namely the leaders. For such systems, one measure of controllability is the dimension…

Systems and Control · Electrical Eng. & Systems 2020-08-18 Yasin Yazicioglu , Mudassir Shabbir , Waseem Abbas , Xenofon Koutsoukos

In this paper, controllability of systems defined on graphs is discussed. We consider the problem of controllability of the network for a family of matrices carrying the structure of an underlying directed graph. A one-to-one correspondence…

Systems and Control · Computer Science 2014-03-20 Nima Monshizadeh , Shuo Zhang , Kanat Camlibel

This paper investigates the impact of addition/removal of edges in a complex networked control system, for the purposes of improving its controllability, system performances or robustness to external disturbances. The transfer function…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Gustav Lindmark , Claudio Altafini

Background: A therapeutic intervention in psychiatry can be viewed as an attempt to influence the brain's large-scale, dynamic network state transitions underlying cognition and behavior. Building on connectome-based graph analysis and…

Epidemics have so far been mostly studied in undirected networks. However, many real-world networks, such as the social network Twitter and the WWW networks, upon which information, emotion or malware spreads, are shown to be directed…

Physics and Society · Physics 2015-06-15 Cong Li , Huijuan Wang , Piet Van Mieghem

By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We explore how the optimization process affects degree-degree…

Disordered Systems and Neural Networks · Physics 2009-11-13 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

A controllable network can be driven from any initial state to any desired state using driver nodes. A set of driver nodes to control a network is not unique. It is important to characterize these driver nodes and select the right driver…

Systems and Control · Computer Science 2014-10-14 Ram Niwash Mahia , Deepak Fulwani , Mahaveer Singh