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相关论文: A general model for collaboration networks

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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

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

We study collaboration networks in terms of evolving, self-organizing bipartite graph models. We propose a model of a growing network, which combines preferential edge attachment with the bipartite structure, generic for collaboration…

统计力学 · 物理学 2009-11-10 Jose J. Ramasco , S. N. Dorogovtsev , Romualdo Pastor-Satorras

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…

物理与社会 · 物理学 2011-10-11 Zou Zhi-Yun , Liu Peng , Lei Li , Gao Jian-Zhi

We propose and study a model of scale-free growing networks that gives a degree distribution dominated by a power-law behavior with a model-dependent, hence tunable, exponent. The model represents a hybrid of the growing networks based on…

无序系统与神经网络 · 物理学 2009-11-10 H. Y. Lee , H. Y. Chan , P. M. Hui

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

物理与社会 · 物理学 2009-11-11 Chunguang Li , Philip K. Maini

We show that not only preferential attachment but also preferential depletion leads to scale-free networks. The resulting degree distribution exponents is typically less than two (5/3) as opposed to the case of the growth models studied…

物理与社会 · 物理学 2015-05-27 Christian M. Schneider , Lucilla de Arcangelis , Hans J. Herrmann

We propose a model for evolving networks by merging building blocks represented as complete graphs, reminiscent of modules in biological system or communities in sociology. The model shows power-law degree distributions, power-law…

统计力学 · 物理学 2009-11-11 Kazuhiro Takemoto , Chikoo Oosawa

It is commonly believed that real networks are scale-free and fraction of nodes $P(k)$ with degree $k$ satisfies the power law $P(k) \propto k^{-\gamma} \text{ for } k > k_{min} > 0$. Preferential attachment is the mechanism that has been…

数据结构与算法 · 计算机科学 2023-06-22 Raheel Anwar , Muhammad Irfan Yousuf , Muhammad Abid

Complex networks in different areas exhibit degree distributions with heavy upper tail. A preferential attachment mechanism in a growth process produces a graph with this feature. We herein investigate a variant of the simple preferential…

概率论 · 数学 2018-04-18 Angelica Pachon , Laura Sacerdote , Shuyi Yang

In the context of growing networks, we introduce a simple dynamical model that unifies the generic features of real networks: scale-free distribution of degree and the small world effect. While the average shortest path length increases…

凝聚态物理 · 物理学 2009-11-07 Konstantin Klemm , Victor M. Eguiluz

Network growth as described by the Duplication-Divergence model proposes a simple general idea for the evolution dynamics of natural networks. In particular it is an alternative to the well known Barab\'asi-Albert model when applied to…

Research in network science has shown that many naturally occurring and technologically constructed networks are scale free, that means a power law degree distribution emerges from a growth model in which each new node attaches to the…

物理与社会 · 物理学 2009-11-11 Michael Schnegg

Several fundamental properties of real complex networks, such as the small-world effect, the scale-free degree distribution, and recently discovered topological fractal structure, have presented the possibility of a unique growth mechanism…

数据分析、统计与概率 · 物理学 2009-11-13 Liuhua Zou , Wenjiang Pei , Tao Li , Zhenya He , Yiuming Cheung

We introduce a general deterministic model for Apollonian Networks in an iterative fashion. The networks have small-world effect and scale-free topology. We calculate the exact results for the degree exponent, the clustering coefficient and…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Lili Rong

We propose a model for growing networks based on a finite memory of the nodes. The model shows stylized features of real-world networks: power law distribution of degree, linear preferential attachment of new links and a negative…

凝聚态物理 · 物理学 2009-11-07 Konstantin Klemm , Victor M. Eguiluz

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

In this paper we present a generalized model for network growth that links the microscopical agent strategies with the large scale behavior. This model is intended to reproduce the largest number of features of the Internet network at the…

统计力学 · 物理学 2007-05-23 Guido Caldarelli , Paolo De Los Rios , Luciano Pietronero

Ever since the Barab\'{a}si-Albert (BA) scale-free network has been proposed, network modeling has been studied intensively in light of the network growth and the preferential attachment (PA). However, numerous real systems are featured…

社会与信息网络 · 计算机科学 2025-11-25 Yuhan Li , Minyu Feng , Jürgen Kurths

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

社会与信息网络 · 计算机科学 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava
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