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Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information…

无序系统与神经网络 · 物理学 2016-08-31 Albert-Laszlo Barabasi , Reka Albert , Hawoong Jeong

It is commonly believed that scale-free networks are robust to massive numbers of random node deletions. For example, Cohen et al. study scale-free networks including some which approximate the measured degree distribution of the Internet.…

网络与互联网体系结构 · 计算机科学 2007-05-23 Hamilton Link , Randall A. LaViolette , Jared Saia , Terran Lane

The scale-free (SF) structure that commonly appears in many complex networks is one of the hot topics related to social, biological, and information sciences. The self-organized generation mechanisms are expected to be useful for efficient…

物理与社会 · 物理学 2007-05-23 Yukio Hayashi

Quantitative descriptions of network structure in big data can provide fundamental insights into the function of interconnected complex systems. Small-world structure, commonly diagnosed by high local clustering yet short average path…

神经元与认知 · 定量生物学 2015-05-12 Sarah Feldt Muldoon , Eric W. Bridgeford , Danielle S. Bassett

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

分子网络 · 定量生物学 2007-09-12 Reka Albert

The degree distribution of a real world network -- the number of links per node -- often follows a power law, with some hubs having many more links than traditional graph generation methods predict. For years, preferential attachment and…

社会与信息网络 · 计算机科学 2024-09-30 Josh Johnston , Tim Andersen

Hierarchical networks actually have many applications in the real world. Firstly, we propose a new class of hierarchical networks with scale-free and fractal structure, which are the networks with triangles compared to traditional…

组合数学 · 数学 2022-11-23 Jia-Bao Liu , Yan Bao , Wu-Ting Zheng

The functional consequences of local and global dynamics can be very different in natural systems. Many such systems have a network description that exhibits strong local clustering as well as high communication efficiency, often termed as…

生物物理 · 物理学 2009-04-07 Raj Kumar Pan , Sitabhra Sinha

Most of various large-size complex systems in nature and society can be well described as complex networks (graphs) to better understand the evolutional mechanisms and dynamical functions behind themselves. Of some part follow scale-free…

物理与社会 · 物理学 2023-08-08 Fei Ma

We propose a simple growing model for the evolution of small-world networks. It is introduced as a modified BA model in which all the edges connected to the new nodes are made locally to the creator and its nearest neighbors. It is found…

数学物理 · 物理学 2009-11-13 Xinping Xu , Feng Liu , Wei Li

Complex networks as the World Wide Web, the web of human sexual contacts or criminal networks often do not have an engineered architecture but instead are self-organized by the actions of a large number of individuals. From these local…

无序系统与神经网络 · 物理学 2007-05-23 Holger Ebel , Joern Davidsen , Stefan Bornholdt

In this paper we introduce a model of spatial network growth in which nodes are placed at randomly selected locations on a unit square in $\mathbb{R}^2$, forming new connections to old nodes subject to the constraint that edges do not…

物理与社会 · 物理学 2016-02-12 Garvin Haslett , Seth Bullock , Markus Brede

Networks growing according to the rule that every new node has a probability p_k of being attached to k preexisting nodes, have a universal phase diagram and exhibit power law decays of the distribution of cluster sizes in the…

无序系统与神经网络 · 物理学 2009-11-10 P. L. Krapivsky , B. Derrida

The small-world property in the context of complex networks implies structural benefits to the processes taking place within a network, such as optimal information transmission and robustness. In this paper, we study a model network of…

适应与自组织系统 · 物理学 2015-08-03 Victor Hernandez-Urbina , J. Michael Herrmann

Real-world growth processes and scalings have been broadly categorized into three growth regimes with distinctly different properties and driving forces. The first two are characterized by a positive and constant feedback between growth and…

物理与社会 · 物理学 2025-03-20 Alain Govaert , André Teixeira , Emma Tegling

The small-world phenomenon in complex networks has been identified as being due to the presence of long-range links, i.e., links connecting nodes that would otherwise be separated by a long node-to-node distance. We find, surprisingly, that…

无序系统与神经网络 · 物理学 2009-11-07 Adilson E. Motter , Takashi Nishikawa , Ying-Cheng Lai

Two large, open source software systems are analyzed from the vantage point of complex adaptive systems theory. For both systems, the full dependency graphs are constructed and their properties are shown to be consistent with the assumption…

适应与自组织系统 · 物理学 2010-01-19 G. A. Kohring

Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing network models and investigate the relationship between the…

物理与社会 · 物理学 2013-12-30 Ari Zitin , Alex Gorowora , Shane Squires , Mark Herrera , Thomas M. Antonsen , Michelle Girvan , Edward Ott

Social network structure is very important for understanding human information diffusing, cooperating and competing patterns. It can bring us with some deep insights about how people affect each other. As a part of complex networks, social…

物理与社会 · 物理学 2009-02-19 Yanqing Hu , Yougui Wang , Zengru Di

Recently, motivated by the pioneer works in revealing the small-world effect and scale-free property of various real-life networks, many scientists devote themselves to studying complex networks. In this paper, we give a brief review on the…

物理与社会 · 物理学 2007-05-23 Bing-Hong Wang , Tao Zhou