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Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

物理与社会 · 物理学 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

The inclusion of link weights into the analysis of network properties allows a deeper insight into the (often overlapping) modular structure of real-world webs. We introduce a clustering algorithm (CPMw, Clique Percolation Method with…

统计力学 · 物理学 2007-07-18 Illes J. Farkas , Daniel Abel , Gergely Palla , Tamas Vicsek

All types of networks arise as intricate combinations of dyadic building blocks formed by pairs of vertices. In directed networks, the dyadic patterns are entirely determined by reciprocity, i.e. the tendency to form, or to avoid, mutual…

数据分析、统计与概率 · 物理学 2014-01-14 Tiziano Squartini , Francesco Picciolo , Franco Ruzzenenti , Diego Garlaschelli

Hypergraphs are generalizations of simple graphs that allow for the representation of complex group interactions beyond pairwise relationships. Clustering coefficients quantify local link density in networks and have been widely studied for…

离散数学 · 计算机科学 2025-07-08 Rikuya Miyashita , Shiori Hironaka , Kazuyuki Shudo

A number of recent studies have focused on the statistical properties of networked systems such as social networks and the World-Wide Web. Researchers have concentrated particularly on a few properties which seem to be common to many…

统计力学 · 物理学 2009-11-07 Michelle Girvan , M. E. J. Newman

Network data has attracted growing interest across scientific domains, prompting the development of various network models. Existing network analysis methods mainly focus on unsigned networks, whereas signed networks, consisting of both…

统计方法学 · 统计学 2026-03-25 Yuwen Wang , Shiwen Ye , Jingnan Zhang , Junhui Wang

We introduce the concept of control centrality to quantify the ability of a single node to control a directed weighted network. We calculate the distribution of control centrality for several real networks and find that it is mainly…

物理与社会 · 物理学 2013-01-01 Yang-Yu Liu , Jean-Jacques Slotine , Albert-László Barabási

Much effort has gone into understanding the modular nature of complex networks. Communities, also known as clusters or modules, are typically considered to be densely interconnected groups of nodes that are only sparsely connected to other…

物理与社会 · 物理学 2012-06-26 James P. Bagrow

Real-world complex systems exhibit multiple levels of relationships. In many cases, they require to be modeled by interconnected multilayer networks, characterizing interactions on several levels simultaneously. It is of crucial importance…

物理与社会 · 物理学 2015-04-24 Manlio De Domenico , Albert Solé-Ribalta , Elisa Omodei , Sergio Gómez , Alex Arenas

Various kinds of spread of influence occur in real world social and virtual networks. These phenomena are formulated by activation processes and irreversible dynamic monopolies in combinatorial graphs representing the topology of the…

离散数学 · 计算机科学 2024-03-05 Manouchehr Zaker

In this work we analyzed the relationships between powerful politicians and businessmen of Chile in order to study the phenomenon of social power. We developed our study according to Complex Network Theory but also using traditional…

物理与社会 · 物理学 2014-11-05 Juan Pablo Cárdenas , Gerardo Vidal , Gastón Olivares

The purpose of this paper is to assess the statistical characterization of weighted networks in terms of the generalization of the relevant parameters, namely average path length, degree distribution and clustering coefficient. Although the…

物理与社会 · 物理学 2007-05-23 Antoniou Ioannis , Tsompa Eleni

Community detection emerges as an important task in the discovery of network mesoscopic structures. However, the concept of a "good" community is very context-dependent and it is relatively complicated to deduce community characteristics…

社会与信息网络 · 计算机科学 2018-06-06 Vinh-Loc Dao , Cécile Bothorel , Philippe Lenca

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress…

无序系统与神经网络 · 物理学 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

Complex networks have been studied extensively due to their relevance to many real systems as diverse as the World-Wide-Web (WWW), the Internet, energy landscapes, biological and social networks…

无序系统与神经网络 · 物理学 2009-11-11 Chaoming Song , Shlomo Havlin , Hernan A. Makse

Many real-world complex networks exhibit a community structure, in which the modules correspond to actual functional units. Identifying these communities is a key challenge for scientists. A common approach is to search for the network…

物理与社会 · 物理学 2016-12-22 Federico Botta , Charo I. del Genio

Functions of some networks, such as power grids and large-scale brain networks, rely on not only frequency synchronization, but also phase synchronization. Nevertheless, even after the oscillators reach to frequency-synchronized status,…

混沌动力学 · 物理学 2012-06-25 Takamitsu Watanabe

In order to compare social organization of a medieval peasantry before and after the Hundred Years' War we study the sructure of social networks built from a corpus of agrarian contracts. Low diameters and high clusterings show small-world…

物理与社会 · 物理学 2007-05-23 Romain Boulet , Bertrand Jouve

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

We introduce a model for the formation of social networks, which takes into account the homophily or the tendency of individuals to associate and bond with similar others, and the mechanisms of global and local attachment as well as tie…

物理与社会 · 物理学 2019-03-28 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski