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We show how scale-free degree distributions can emerge naturally from growing networks by using random walks for selecting vertices for attachment. This result holds for several variants of the walk algorithm and for a wide range of…

统计力学 · 物理学 2007-05-23 T. S. Evans , J. P. Saramaki

We present a simple mechanism for generating undirected scale-free networks using random walkers, where the network growth is determined by choosing parent vertices by sequential random walks. We show that this mechanism produces scale-free…

统计力学 · 物理学 2007-05-23 Jari Saramaki , Kimmo Kaski

This paper presents an algorithm for generating scale-free networks with adjustable clustering coefficient. The algorithm is based on a random walk procedure combined with a triangle generation scheme which takes into account genetic…

物理与社会 · 物理学 2011-05-18 Carlos Herrera , Pedro J. Zufiria

This paper presents an analytical framework to model fault-tolerance in unstructured peer-to-peer overlays, represented as complex networks. We define a distributed protocol peers execute for managing the overlay and reacting to node…

分布式、并行与集群计算 · 计算机科学 2013-01-09 Stefano Ferretti

We propose a local strategy for constructing scale-free networks of arbitrary degree distributions, based on the redirection method of Krapivsky and Redner [Phys. Rev. E 63, 066123 (2001)]. Our method includes a set of external parameters…

无序系统与神经网络 · 物理学 2009-11-10 Hernan Rozenfeld , Daniel ben-Avraham

We study diffusion (random walks) on recursive scale-free graphs, and contrast the results to similar studies in other analytically soluble media. This allows us to identify ways in which diffusion in scale-free graphs is special. Most…

无序系统与神经网络 · 物理学 2007-05-23 Erik M. Bollt , Daniel ben-Avraham

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

物理与社会 · 物理学 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

We propose a simple dynamical model that generates networks with power-law degree distributions with the exponent 2 through rewiring only. At each time step, two nodes, i and j, are randomly selected, and one incoming link to i is…

统计力学 · 物理学 2012-04-27 Suhan Ree

In contrast to the conventional wisdom that scale-free networks are prone to epidemic propagation, in the paper we present that disease spreading is inhibited in fractal scale-free networks. We first propose a novel network model and show…

种群与进化 · 定量生物学 2008-09-25 Zhongzhi Zhang , Shuigeng Zhou , Zou Tao , Guisheng Chen

The coupling of scale-free networks with mobile unstructured networks is certainly unusual. In mobile networks, connections active at a given instant are constrained by the geographical distribution of mobile nodes, and by the limited…

分布式、并行与集群计算 · 计算机科学 2016-11-17 Stefano Ferretti , Vittorio Ghini

A majority of studied models for scale-free networks have degree distributions with exponents greater than $2$. Real networks, however, can demonstrate essentially more heavy-tailed degree distributions. We explore two models of scale-free…

物理与社会 · 物理学 2016-12-14 Gábor Timár , Sergey N. Dorogovtsev , José Fernando F. Mendes

Ubiquitous sensing devices frequently disseminate data among them. The use of a distributed event-based system that decouples publishers from subscribers arises as an ideal candidate to implement the dissemination process. In this paper, we…

分布式、并行与集群计算 · 计算机科学 2015-01-27 Cristina Muñoz , Pierre Leone

We consider distributed networks, such as peer-to-peer networks, whose structure can be manipulated by adjusting the rules by which vertices enter and leave the network. We focus in particular on degree distributions and show that, with…

物理与社会 · 物理学 2007-10-18 Gourab Ghoshal , M. E. J. Newman

Extensive studies have been done to understand the principles behind architectures of real networks. Recently, evidences for hierarchical organization in many real networks have also been reported. Here, we present a new hierarchical model…

其他凝聚态物理 · 物理学 2007-05-23 J. C. Nacher , N. Ueda , M. Kanehisa , T. Akutsu

The rate equations are used to study the scale-free behavior of the weight distribution in evolving networks whose topology is determined only by degrees of preexisting vertices. An analysis of these equations shows that the degree…

无序系统与神经网络 · 物理学 2007-05-23 W. Jezewski

In this paper, we present a simple model of scale-free networks that incorporates both preferential & random attachment and anti-preferential & random deletion at each time step. We derive the degree distribution analytically and show that…

数据分析、统计与概率 · 物理学 2007-05-23 Dinghua Shi , Xiang Zhu , Liming Liu

Many real-world scale-free networks, such as neural networks and online communication networks, consist of a fixed number of nodes but exhibit dynamic edge fluctuations. However, traditional models frequently overlook scenarios where the…

社会与信息网络 · 计算机科学 2026-04-02 Yichao Yao , Minyu Feng , Matjaž Perc , Jürgen Kurths

This study introduces an algorithm that generates undirected graphs with three main characteristics of real-world networks: scale-freeness, short distances between nodes (small-world phenomenon), and large clustering coefficients. The main…

社会与信息网络 · 计算机科学 2025-02-27 João Pedro C. Morais , Ruben Interian

Many real-world complex networks simultaneously exhibit topological features of scale-free behaviour and hierarchical organization. In this regard, deterministic scale-free [A.-L. Barab\'asi \etal, Physica A, 299, 3 (2001)] and…

物理与社会 · 物理学 2017-11-22 Chiranjit Mitra , Jürgen Kurths , Reik V. Donner

We study the statistical properties of the sampled networks by a random walker. We compare topological properties of the sampled networks such as degree distribution, degree-degree correlation, and clustering coefficient with those of the…

物理与社会 · 物理学 2009-11-13 Sooyeon Yoon , Sungmin Lee , Soon-Hyung Yook , Yup Kim
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