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Inspired by empirical data on real world complex networks, the last few years have seen an explosion in proposed generative models to understand and explain observed properties of real world networks, including power law degree distribution…

概率论 · 数学 2015-08-11 Shankar Bhamidi , Jimmy Jin , Andrew Nobel

Paper proposes a model of large networks based on a random preferential attachment graph with addition of complete subgraphs (cliques). The proposed model refers to models of random graphs following the nonlinear preferential attachment…

社会与信息网络 · 计算机科学 2019-04-05 E. B. Yudin

Networks with a scale-free degree distribution are widely thought to promote cooperation in various games. Herein, by studying the well-known prisoner's dilemma game, we demonstrate that this need not necessarily be true. For the very same…

物理与社会 · 物理学 2021-10-27 Deep Nath , Saptarshi Sinha , Soumen Roy

We propose a model that generates a new class of networks exhibiting power-law degree distribution with a spectrum of exponents depending on the number of links ($m$) with which incoming nodes join the existing network. Unlike the…

物理与社会 · 物理学 2018-01-09 Kamrul Hassan , Liana Islam

We give an intuitive though general explanation of the finite-size effect in scale-free networks in terms of the degree distribution of the starting network. This result clarifies the relevance of the starting network in the final degree…

物理与社会 · 物理学 2011-07-14 Sara Cuenda , Juan A. Crespo

We analyze the fine-grained connections between the average degree and the power-law degree distribution exponent in growing information networks. Our starting observation is a power-law degree distribution with a decreasing exponent and…

社会与信息网络 · 计算机科学 2017-01-03 Róbert Pálovics , András A. Benczúr

We derive properties of Latent Variable Models for networks, a broad class of models that includes the widely-used Latent Position Models. These include the average degree distribution, clustering coefficient, average path length and degree…

统计方法学 · 统计学 2015-06-26 Riccardo Rastelli , Nial Friel , Adrian E. Raftery

We study scale free simple graphs with an exponent of the degree distribution $\gamma$ less than two. Generically one expects such extremely skewed networks -- which occur very frequently in systems of virtually or logically connected units…

统计力学 · 物理学 2007-05-23 Hamed Seyed-allaei , Ginestra Bianconi , Matteo Marsili

What is the underlying mechanism leading to power-law degree distributions of many natural and artificial networks is still at issue. We consider that scale-free networks emerges from self-organizing process, and such a evolving model is…

统计力学 · 物理学 2007-05-23 Gang Yan , Tao Zhou , Ying-Di Jin , Zhong-Qian Fu

There are diverse mechanisms driving the evolution of social networks. A key open question dealing with understanding their evolution is: How various preferential linking mechanisms produce networks with different features? In this paper we…

物理与社会 · 物理学 2015-06-12 Haibo Hu , Jinli Guo , Xuan Liu

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of…

统计力学 · 物理学 2009-11-11 Wen-Xu Wang , Bu Hu , Tao Zhou , Bing-Hong Wang , Yan-Bo Xie

In this paper, a directed network model for world-wide web is presented. The out-degree of the added nodes are supposed to be scale-free and its mean value is $m$. This model exhibits small-world effect, which means the corresponding…

物理与社会 · 物理学 2009-11-11 Jian-Guo Liu , Yan-Zhong Dang , Zhong-Tuo Wang , Tao Zhou

Many important real-world networks manifest "small-world" properties such as scale-free degree distributions, small diameters, and clustering. The most common model of growth for these networks is "preferential attachment", where nodes…

定量方法 · 定量生物学 2009-11-13 Samarth Swarup , Les Gasser

In this paper we present a new version of a network growth model, generalized in order to describe the behavior of social networks. The case of study considered is the preprint archive at cul.arxiv.org. Each node corresponds to a scientist,…

凝聚态物理 · 物理学 2009-11-10 Michele Catanzaro , Guido Caldarelli , Luciano Pietronero

We propose a wide class of preferential attachment models of random graphs, generalizing previous approaches. Graphs described by these models obey the power-law degree distribution, with the exponent that can be controlled in the models.…

组合数学 · 数学 2015-05-20 Liudmila Ostroumova , Alexander Ryabchenko , Egor Samosvat

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. These include scale-free degree distributions, small-world structure and assortative mixing by…

社会与信息网络 · 计算机科学 2013-05-24 Lovro Šubelj , Marko Bajec

Preferential attachment is an appealing edge generating mechanism for modeling social networks. It provides both an intuitive description of network growth and an explanation for the observed power laws in degree distributions. However,…

统计方法学 · 统计学 2017-12-21 Phyllis Wan , Tiandong Wang , Richard A. Davis , Sidney I. Resnick

Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered.…

无序系统与神经网络 · 物理学 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

Many real world networks, such as social networks, are primarily formed through local interactions between agents. Additionally, in contrast with common network models, social and biological networks exhibit a high degree of clustering.…

物理与社会 · 物理学 2015-03-10 Navid Dianati , Nima Dehmamy

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