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Networks have always played a special role for human beings in shaping social relations, forming public opinion, and driving economic equilibria. Nowadays, online networked platforms dominate digital markets and capitalization…

物理与社会 · 物理学 2024-04-17 Antonio Scala , Marco Delmastro

The bidirectional selection between two classes widely emerges in various social lives, such as commercial trading and mate choosing. Until now, the discussions on bidirectional selection in structured human society are quite limited. We…

物理与社会 · 物理学 2015-02-23 Bin Zhou , Zhe He , Luo-Luo Jiang , Nian-Xin Wang , Bing-Hong Wang

The social network formed by the collaboration between rappers is studied using standard statistical techniques for analyzing complex networks. In addition, the community structure of the rap music community is analyzed using a new method…

物理与社会 · 物理学 2007-05-23 Reginald D. Smith

We provide a mean-field analysis of community structure of social and biological networks assuming that actors are able to evaluate some tree-derived distance to the other actors and tend to aggregate with the less distant. We show that…

种群与进化 · 定量生物学 2007-05-23 E. Durand , M. G. B Blum , O. Francois

The topology of an instant messaging system is described. Statistical measures of the network are given and compared with the statistics of a comparable random graph. The scale-free character of the network is examined and implications are…

统计力学 · 物理学 2007-05-23 Reginald D. Smith

We discuss social network analysis from the perspective of economics. We organize the presentaion around the theme of externalities: the effects that one's behavior has on others' well-being. Externalities underlie the interdependencies…

物理与社会 · 物理学 2016-08-30 Matthew O. Jackson , Brian W. Rogers , Yves Zenou

Complex network theory is used to investigate the structure of meaningful concepts in written texts of individual authors. Networks have been constructed after a two phase filtering, where words with less meaning contents are eliminated,…

数据分析、统计与概率 · 物理学 2009-11-11 Silvia M. G. Caldeira , Thierry C. Petit Lobao , R. F. S. Andrade , Alexis Neme , J. G. V. Miranda

Identifying the hidden organizational principles and relevant structures of networks representing complex physical systems is fundamental to understand their properties. To this aim, uncovering the structures involving a network's prominent…

物理与社会 · 物理学 2022-08-17 Nicola Pedreschi , Demian Battaglia , Alain Barrat

The study of community networks has attracted considerable attention recently. In this paper, we propose an evolving community network model based on local processes, the addition of new nodes intra-community and new links intra- or…

物理与社会 · 物理学 2009-11-13 Xin-Jian Xu , Xun Zhang , J. F. F. Mendes

This work proves that ranks and shares are statistically dependent on one another, based on simple combinatorics. It presents a formula for rank-share distribution and illustrates that Zipfs law, is descended from expected values of various…

其他统计学 · 统计学 2017-05-24 A Shyklo

Over the past decade network theory has turned out to be a powerful methodology to investigate complex systems of various sorts. Through data analysis, modeling, and simulation quite an unparalleled insight into their structure, function,…

物理与社会 · 物理学 2010-07-16 Kimmo Kaski

We bring rigor to the vibrant activity of detecting power laws in empirical degree distributions in real-world networks. We first provide a rigorous definition of power-law distributions, equivalent to the definition of regularly varying…

物理与社会 · 物理学 2019-10-23 Ivan Voitalov , Pim van der Hoorn , Remco van der Hofstad , Dmitri Krioukov

We study a modified version of a model previously proposed by Jackson and Wolinsky to account for communicating information and allocating goods in socioeconomic networks. In the model, the utility function of each node is given by a…

物理与社会 · 物理学 2009-11-13 Rui Carvalho , Giulia Iori

Despite the tremendous advancements in the field of network theory, very few studies have taken weights in the interactions into consideration that emerge naturally in all real world systems. Using random matrix analysis of a weighted…

物理与社会 · 物理学 2016-02-25 Camellia Sarkar , Sarika Jalan

Network motifs are small building blocks of complex networks. Statistically significant motifs often perform network-specific functions. However, the precise nature of the connection between motifs and the global structure and function of…

物理与社会 · 物理学 2015-03-03 Almerima Jamakovic , Priya Mahadevan , Amin Vahdat , Marian Boguna , Dmitri Krioukov

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

物理与社会 · 物理学 2017-09-19 Jürgen Hackl , Bryan T. Adey

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

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

统计力学 · 物理学 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are…

统计力学 · 物理学 2009-11-07 Albert-Laszlo Barabasi , Erzsebet Ravasz , Tamas Vicsek

Connectivity correlations play an important role in the structure of scale-free networks. While several empirical studies exist, there is no general theoretical analysis that can explain the largely varying behavior of real networks. Here,…

物理与社会 · 物理学 2009-11-13 Lazaros K. Gallos , Chaoming Song , Hernan A. Makse