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We present simulation results for the contact process on regular, cubic networks that are composed of a one-dimensional lattice and a set of long edges with unbounded length. Networks with different sets of long edges are considered, that…

统计力学 · 物理学 2015-05-13 R. Juhász , G. Ódor

Biased (degree-dependent) percolation was recently shown to provide new strategies for turning robust networks fragile and vice versa. Here we present more detailed results for biased edge percolation on scale-free networks. We assume a…

We consider the Majority Vote model coupled with scale-free networks. Recent works point to a non-universal behavior of the Majority Vote model, where the critical exponents depend on the connectivity while the network's effective dimension…

Many real-world networks exhibit scale-free feature, have a small diameter and a high clustering tendency. We have studied the properties of a growing network, which has all these features, in which an incoming node is connected to its…

统计力学 · 物理学 2009-11-10 Parongama Sen , S. S. Manna

Critical phenomena on scale-free networks with a degree distribution $p_k \sim k^{-\lambda}$ exhibit rich finite-size effects due to its structural heterogeneity. We systematically study the finite-size scaling of percolation and identify…

统计力学 · 物理学 2025-08-29 Xuewei Zhao , Liwenying Yang , Dan Peng , Run-Ran Liu , Ming Li

Human behavior often exhibit a scheme in which individuals adopt indifferent, neutral, or radical positions on a given topic. The mechanisms leading to community formation are strongly related with social pressure and the topology of the…

物理与社会 · 物理学 2013-02-21 Marta Balbás Gambra , Erwin Frey

This paper is concerned with the characterization of the relationship between topology and traffic dynamics. We use a model of network generation that allows the transition from random to scale free networks. Specifically, we consider three…

网络与互联网体系结构 · 计算机科学 2007-05-23 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

Motivated by the idea that criticality and universality of phase transitions might play a crucial role in achieving and sustaining learning and intelligent behaviour in biological and artificial networks, we analyse a theoretical and a…

人工智能 · 计算机科学 2017-06-01 Dan Oprisa , Peter Toth

We consider the following multi--level opinion spreading model on networks. Initially, each node gets a weight from the set [0..k-1], where such a weight stands for the individuals conviction of a new idea or product. Then, by proceeding to…

社会与信息网络 · 计算机科学 2012-09-27 Sara Brunetti , Gennaro Cordasco , Luisa Gargano , Elena Lodi , Walter Quattrociocchi

Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study non degree dependent correlations between edge weights, generalizing thus the…

统计力学 · 物理学 2009-11-11 Jose J. Ramasco , Bruno Goncalves

Complex network theory provides a powerful framework to statistically investigate the topology of local and non-local statistical interrelationships, i.e. teleconnections, in the climate system. Climate networks constructed from the same…

数据分析、统计与概率 · 物理学 2009-07-27 Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

Using the formalism of the biased random walk in random uncorrelated networks with arbitrary degree distributions, we develop theoretical approach to the critical packet generation rate in traffic based on routing strategy with local…

物理与社会 · 物理学 2015-06-05 Piotr Fronczak

The topological structure of the power grid plays a key role in the reliable delivery of electricity and price settlement in the electricity market. Incorporation of new energy sources and loads into the grid over time has led to its…

社会与信息网络 · 计算机科学 2015-03-02 Deepjyoti Deka , Sriram Vishwanath

The nonequilibrium Ising model on a restricted scale-free network has been studied with one- and two-spin flip competing dynamics employing Monte Carlo simulations. The dynamics present in the system can be defined by the probability $q$ in…

统计力学 · 物理学 2023-06-09 R. A. Dumer , M. Godoy

Percolation processes on random networks have been the subject of intense research activity over the last decades: the overall phenomenology of standard percolation on uncorrelated and unclustered topologies is well known. Still some…

统计力学 · 物理学 2024-12-06 Lorenzo Cirigliano , Gábor Timár , Claudio Castellano

Inferring topological characteristics of complex networks from observed data is critical to understand the dynamical behavior of networked systems, ranging from the Internet and the World Wide Web to biological networks and social networks.…

多智能体系统 · 计算机科学 2020-05-13 Chunheng Jiang , Jianxi Gao , Malik Magdon-Ismail

We study a triplet majority-rule opinion-dynamics model with collective reversal on quenched networks. Interactions occur on local triplets composed of one agent and two of its neighbors, while collective reversal acts only on unanimous…

物理与社会 · 物理学 2026-05-13 Roni Muslim

The structure of a network can significantly influence the properties of the dynamical processes which take place on them. While many studies have been devoted to this influence, much less attention has been devoted to the interplay and…

物理与社会 · 物理学 2008-01-10 Balazs Kozma , Alain Barrat

We consider a finite structured population of mobile individuals that strategically explore a network using a Markov movement model and interact with each other via a public goods game. We extend the model of Erovenko et al. (2019) from…

物理与社会 · 物理学 2023-10-11 Igor V. Erovenko , Mark Broom

The hidden variable formalism (based on the assumption of some intrinsic node parameters) turned out to be a remarkably efficient and powerful approach in describing and analyzing the topology of complex networks. Owing to one of its most…

物理与社会 · 物理学 2019-08-13 Sámuel G. Balogh , Péter Pollner , Gergely Palla