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Through the distinction between ``real'' and ``virtual'' links between the nodes of a graph, we develop a set of simple rules leading to scale-free networks with a tunable degree distribution exponent. Albeit sharing some similarities with…

统计力学 · 物理学 2007-05-23 F. Stauffer

This paper presents an evolution model of weighted networks in which the structural growth and weight dynamics are driven by human behavior, i.e. passenger route choice behavior. Transportation networks grow due to people's increasing…

物理与社会 · 物理学 2007-09-27 Yihong Hu , Daoli Zhu , Nianqu Zhu

It has been discovered recently that many social, biological and ecological systems have the so-called small-world and scale-free features, which has provoked new research interest in the studies of various complex networks. Yet, most…

无序系统与神经网络 · 物理学 2007-05-23 Chunguang Li , Guanrong Chen

We present a link-by-link rule-based method for constructing all members of the ensemble of spanning trees for any recursively generated, finitely articulated graph, such as the DGM net. The recursions allow for many large-scale properties…

物理与社会 · 物理学 2022-03-14 C. Tyler Diggans , Erik M. Bollt , Daniel ben-Avraham

In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of…

无序系统与神经网络 · 物理学 2007-05-23 Chuan-Ji Fu , Qing Ou , Wen Chen , Bing-Hong Wang , Ying-Di Jin , Yong-Wei Niu , Tao Zhou

We present empirical evidence that land values are scale-free and introduce a network model that reproduces the observations. The network approach to urban modelling is based on the assumption that the market dynamics that generates land…

无序系统与神经网络 · 物理学 2009-11-10 Claes Andersson , Alexander Hellervik , Kristian Lindgren , Anders Hagson , Jonas Tornberg

A large number of complex networks, both natural and artificial, share the presence of highly heterogeneous, scale-free degree distributions. A few mechanisms for the emergence of such patterns have been suggested, optimization not being…

统计力学 · 物理学 2009-11-07 S. Valverde , R. Ferrer i Cancho , R. V. Sole

It has been shown that many networks associated with complex systems are small-world (they have both a large local clustering coefficient and a small diameter) and they are also scale-free (the degrees are distributed according to a power…

社会与信息网络 · 计算机科学 2016-05-25 L. Barrière , F. Comellas , C. Dalfó , M. A. Fiol

Since some realistic networks are influenced not only by increment behavior but also by tunable clustering mechanism with new nodes to be added to networks, it is interesting to characterize the model for those actual networks. In this…

物理与社会 · 物理学 2012-02-03 Ying-Hong Ma , Huijia Li , Xiao-Dong Zhang

Many real networks share three generic properties: they are scale-free, display a small-world effect, and show a power-law strength-degree correlation. In this paper, we propose a type of deterministically growing networks called Sierpinski…

物理与社会 · 物理学 2007-07-16 Zhongzhi Zhang , Shuigeng Zhou , Lujun Fang , Jihong Guan , Yichao Zhang

Networks are mathematical structures that are universally used to describe a large variety of complex systems such as the brain or the Internet. Characterizing the geometrical properties of these networks has become increasingly relevant…

物理与社会 · 物理学 2015-05-26 Zhihao Wu , Giulia Menichetti , Christoph Rahmede , Ginestra Bianconi

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

Co-evolution exhibited by a network system, involving the intricate interplay between the dynamics of the network itself and the subsystems connected by it, is a key concept for understanding the self-organized, flexible nature of…

物理与社会 · 物理学 2012-11-14 Takaaki Aoki , Toshio Aoyagi

Random graphs with power-law degrees can model scale-free networks as sparse topologies with strong degree heterogeneity. Mathematical analysis of such random graphs proved successful in explaining scale-free network properties such as…

物理与社会 · 物理学 2019-05-24 Clara Stegehuis , Remco van der Hofstad , Johan S. H. van Leeuwaarden

We consider Markov logic networks and relational logistic regression as two fundamental representation formalisms in statistical relational artificial intelligence that use weighted formulas in their specification. However, Markov logic…

人工智能 · 计算机科学 2024-05-17 Felix Weitkämper

Many realistic networks are scale-free, with small characteristic path lengths, high clustering, and power law in their degree distribution. They can be obtained by dynamical networks in which a preferential attachment process takes place.…

物理与社会 · 物理学 2017-03-13 Francesco Caravelli , Alioscia Hamma , Massimiliano Di Ventra

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

How does the shape of a network change as its size increases? Although random graph models provide some expectations for such "scaling behaviors" in the structure of networks, relatively little is known about how empirical network structure…

社会与信息网络 · 计算机科学 2026-03-24 Upasana Dutta , Alexander Ray , Aaron Clauset

We propose and study a model of traffic in communication networks. The underlying network has a structure that is tunable between a scale-free growing network with preferential attachments and a random growing network. To model realistic…

网络与互联网体系结构 · 计算机科学 2008-06-12 Zonghua Liua , Weichuan Ma , Huan Zhang , Yin Sun , P. M. Hui

It has recently been discovered that many biological systems, when represented as graphs, exhibit a scale-free topology. One such system is the set of structural relationships among protein domains. The scale-free nature of this and other…

种群与进化 · 定量生物学 2009-11-10 Eric J. Deeds , Eugene I. Shakhnovich