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For the study of citation networks, a challenging problem is modeling the high clustering. Existing studies indicate that the promising way to model the high clustering is a copying strategy, i.e., a paper copies the references of its…

物理与社会 · 物理学 2015-03-19 Fu-Xin Ren , Xue-Qi Cheng , Hua-Wei Shen

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Network models with preferential attachment, where new nodes are injected into the network and form links with existing nodes proportional to their current connectivity, have been well studied for some time. Extensions have been introduced…

物理与社会 · 物理学 2013-06-26 James P. Bagrow , Dirk Brockmann

Complex networks have been applied to model numerous interactive nonlinear systems in the real world. Knowledge about network topology is crucial for understanding the function, performance and evolution of complex systems. In the last few…

物理与社会 · 物理学 2009-11-13 Jing Zhao , Lin Tao , Hong Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

We consider the network constraints on the bounds of the assortativity coefficient, which measures the tendency of nodes with the same attribute values to be interconnected. The assortativity coefficient is the Pearson's correlation…

社会与信息网络 · 计算机科学 2021-01-13 Matteo Cinelli , Leto Peel , Antonio Iovanella , Jean-Charles Delvenne

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

Network classification aims to group networks (or graphs) into distinct categories based on their structure. We study the connection between classification of a network and of its constituent nodes, and whether nodes from networks in…

社会与信息网络 · 计算机科学 2022-08-04 Saray Shai , Isaac Jacobs , Peter J. Mucha

Many real networks have cliques as their constitutional units. Here we present a family of scale-free network model consist of cliques, which is established by a simple recursive algorithm. We investigate the networks both analytically and…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Shuigeng Zhou

The graph theoretic properties of the clustering coefficient, characteristic (or average) path length, global and local efficiency, provide valuable information regarding the structure of a graph. These four properties have applications to…

组合数学 · 数学 2017-09-25 Alexander Strang , Oliver Haynes , Nathan D. Cahill , Darren A. Narayan

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

统计方法学 · 统计学 2020-01-22 Mirko Signorelli , Ernst Wit

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

机器学习 · 计算机科学 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

Graphical models are frequently used to represent topological structures of various complex networks. Current criteria to assess different models of a network mainly rely on how close a model matches the network in terms of topological…

网络与互联网体系结构 · 计算机科学 2015-03-17 Zhengping Fan , Guanrong Chen , Yunong Zhang

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

物理与社会 · 物理学 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

社会与信息网络 · 计算机科学 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

社会与信息网络 · 计算机科学 2017-03-02 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

We present a systematic and detailed study of the robustness of directed networks under random and targeted removal of links. We work with a set of network models of random and scale free type, generated with specific features of clustering…

物理与社会 · 物理学 2018-10-17 G. Kashyap , G. Ambika

Nestedness is a property of interaction networks widely observed in natural mutualistic communities. Despite a widespread interest on this pattern, no general consensus exists on how to measure it. Instead, several metrics aiming at…

物理与社会 · 物理学 2020-02-04 Claudia Payrato-Borras , Laura Hernandez , Yamir Moreno

Data-driven analysis of complex networks has been in the focus of research for decades. An important area of research is to study how well real networks can be described with a small selection of metrics, furthermore how well network models…

社会与信息网络 · 计算机科学 2022-04-28 Marcell Nagy , Roland Molontay

The entropy of network ensembles characterizes the amount of information encoded in the network structure, and can be used to quantify network complexity, and the relevance of given structural properties observed in real network datasets…

无序系统与神经网络 · 物理学 2014-06-18 Kartik Anand , Dimitri Krioukov , Ginestra Bianconi

With complex networks emerging as an effective tool to tackle multidisciplinary problems, models of network generation have gained an importance of their own. These models allow us to extensively analyze the data obtained from real-world…

物理与社会 · 物理学 2018-09-05 G. Kashyap , G. Ambika