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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

We have analysed some structural properties of scale-free networks with the same degree distribution. Departing from a degree distribution obtained from the Barab\'asi-Albert (BA) algorithm, networks were generated using four additional…

社会与信息网络 · 计算机科学 2013-06-04 José H. H. Grisi-Filho , Raul Ossada , Fernando Ferreira , Marcos Amaku

A central claim in modern network science is that real-world networks are typically "scale free," meaning that the fraction of nodes with degree $k$ follows a power law, decaying like $k^{-\alpha}$, often with $2 < \alpha < 3$. However,…

物理与社会 · 物理学 2019-03-19 Anna D. Broido , Aaron Clauset

Random networks are intensively used as null models to investigate properties of complex networks. We describe an efficient and accurate algorithm to generate arbitrarily two-point correlated undirected random networks without self- or…

统计力学 · 物理学 2007-10-22 Sebastian Weber , Markus Porto

Scale-free networks are characterized by a degree distribution with power-law behavior and have been shown to arise in many areas, ranging from the World Wide Web to transportation or social networks. Degree distributions of observed…

数据分析、统计与概率 · 物理学 2009-11-11 C. C. Leary , M. Schwehm , M. Eichner , H. P. Duerr

The exponential growth in scale and relevance of social networks enable them to provide expansive insights. Predicting missing links in social networks efficiently can help in various modern-day business applications ranging from generating…

社会与信息网络 · 计算机科学 2024-03-14 Samarth Khanna , Sree Bhattacharyya , Sudipto Ghosh , Kushagra Agarwal , Asit Kumar Das

We propose a nonparametric approach to link prediction in large-scale dynamic networks. Our model uses graph-based features of pairs of nodes as well as those of their local neighborhoods to predict whether those nodes will be linked at…

机器学习 · 统计学 2013-11-19 Purnamrita Sarkar , Deepayan Chakrabarti , Michael Jordan

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

无序系统与神经网络 · 物理学 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

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

We study scale-free networks constructed via a cooperative Achlioptas growth process. Links between nodes are introduced in the network in order to produce a scale-free graph with given exponent lambda for the degree distribution, but the…

物理与社会 · 物理学 2009-10-13 Filippo Radicchi , Santo Fortunato

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

An active research line within the broader field of network science is the one concerning link prediction. Close in scope to network reconstruction, link prediction targets specific connections with the aim of uncovering the missing ones,…

物理与社会 · 物理学 2026-02-02 Francesca Santucci , Giulio Cimini , Tiziano Squartini

Link prediction in networks is typically accomplished by estimating or ranking the probabilities of edges for all pairs of nodes. In practice, especially for social networks, the data are often collected by egocentric sampling, which means…

统计计算 · 统计学 2018-03-14 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

Prediction of node and graph labels are prominent network science tasks. Data analyzed in these tasks are sometimes related: entities represented by nodes in a higher-level (higher-scale) network can themselves be modeled as networks at a…

分子网络 · 定量生物学 2021-05-27 Shawn Gu , Meng Jiang , Pietro Hiram Guzzi , Tijana Milenkovic

In principle, the rules of links formation of a network model can be considered as a kind of link prediction algorithm. By revisiting the preferential attachment mechanism for generating a scale-free network, here we propose a class of…

物理与社会 · 物理学 2012-11-09 Ke Hu , Ju Xiang , Wanchun Yang , Xiaoke Xu , Yi Tang

In social networks, link prediction predicts missing links in current networks and new or dissolution links in future networks, is important for mining and analyzing the evolution of social networks. In the past decade, many works have been…

社会与信息网络 · 计算机科学 2014-12-09 Peng Wang , Baowen Xu , Yurong Wu , Xiaoyu Zhou

This paper develops a framework for analyzing and designing dynamic networks comprising different classes of nodes that coexist and interact in one shared environment. We consider {\em ad hoc} (i.e., nodes can leave the network unannounced,…

无序系统与神经网络 · 物理学 2013-05-29 Nima Sarshar , Vwani Roychowdhury

Using a simple model with link removals as well as link additions, we show that an evolving network is scale free with a degree exponent in the range of (2, 4]. We then establish a relation between the network evolution and a set of…

数学物理 · 物理学 2007-05-23 Dinghua Shi , Liming Liu , Xiang Zhu , Huijie Zhou , Binbin Wang

We consider a class of simple, non-trivial models of evolving weighted scale-free networks. The network evolution in these models is determined by attachment of new vertices to ends of preferentially chosen weighted edges. Resulting…

统计力学 · 物理学 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes

The analysis of datasets taking the form of simple, undirected graphs continues to gain in importance across a variety of disciplines. Two choices of null model, the logistic-linear model and the implicit log-linear model, have come into…

统计理论 · 数学 2012-02-13 Patrick O. Perry , Patrick J. Wolfe