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The assortative behavior of a network is the tendency of similar (or dissimilar) nodes to connect to each other. This tendency can have an influence on various properties of the network, such as its robustness or the dynamics of spreading…

社会与信息网络 · 计算机科学 2025-08-07 Marc Kaufmann , Ulysse Schaller , Thomas Bläsius , Johannes Lengler

The configuration model is one of the most successful models for generating uncorrelated random networks. We analyze its behavior when the expected degree sequence follows a power law with exponent smaller than two. In this situation, the…

无序系统与神经网络 · 物理学 2009-11-11 M. A. Serrano , M. Boguna

The structure of complex networks in previous research has been widely described as scale-free networks generated by the preferential attachment model. However, the preferential attachment model does not take into account the detailed…

无序系统与神经网络 · 物理学 2008-02-26 Nobuhiko Oshida , Sigeo Ihara

We propose a deterministic weighted scale-free small-world model for considering pseudofractal web with the coevolution of topology and weight. In the model, we have the degree distribution exponent $\gamma$ restricted to a range between 2…

统计力学 · 物理学 2011-02-03 Yichao Zhang , Zhongzhi Zhang , Shuigeng Zhou , Jihong Guan

In this work we study a simple evolutionary model of bipartite networks which its evolution is based on the duplication of nodes. Using analytical results along with numerical simulation of the model, we show that the above evolutionary…

无序系统与神经网络 · 物理学 2009-11-10 A. Ramezanpour

This paper studies the topological properties of the World Trade Web (WTW) and its evolution over time by employing a weighted network analysis. We show that the WTW, viewed as a weighted network, displays statistical features that are very…

综合金融 · 定量金融 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated weighted networks do not exist due to the presence of…

无序系统与神经网络 · 物理学 2009-11-11 M. Angeles Serrano , Marian Boguna , Romualdo Pastor-Satorras

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

物理与社会 · 物理学 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

Assortative mixing in networks is the tendency for nodes with the same attributes, or metadata, to link to each other. It is a property often found in social networks manifesting as a higher tendency of links occurring between people with…

社会与信息网络 · 计算机科学 2018-04-19 Leto Peel , Jean-Charles Delvenne , Renaud Lambiotte

Complex network theory has been used to study complex systems. However, many real-life systems involve multiple kinds of objects . They can't be described by simple graphs. In order to provide complete information of these systems, we…

物理与社会 · 物理学 2015-11-10 Jin-Li Guo , Xin-Yun Zhu

Directed networks are ubiquitous and are necessary to represent complex systems with asymmetric interactions---from food webs to the World Wide Web. Despite the importance of edge direction for detecting local and community structure, it…

物理与社会 · 物理学 2010-11-09 Jacob G. Foster , David V. Foster , Peter Grassberger , Maya Paczuski

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

统计力学 · 物理学 2015-06-24 M. E. J. Newman , M. Girvan

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

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

物理与社会 · 物理学 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

We present a novel type of weighted scale-free network model, in which the weight grows independently of the attachment of new nodes. The evolution of this network is thus determined not only by the preferential attachment of new nodes to…

无序系统与神经网络 · 物理学 2007-07-24 Takuma Tanaka , Toshio Aoyagi

Small-world networks are highly clustered networks with small distances among the nodes. There are many biological neural networks that present this kind of connections. There are no special weightings in the connections of most existing…

无序系统与神经网络 · 物理学 2009-11-10 Chunguang Li , Guanrong Chen

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

统计力学 · 物理学 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

Combinations of random and preferential growth for both on-growing and stationary networks are studied and a hierarchical topology is observed. Thus for real world scale-free networks which do not exhibit hierarchical features preferential…

无序系统与神经网络 · 物理学 2015-06-24 Andreas Gronlund , Kim Sneppen , Petter Minnhagen

We introduce a growing network evolution model with nodal attributes. The model describes the interactions between potentially violent V and non-violent N agents who have different affinities in establishing connections within their own…

物理与社会 · 物理学 2012-01-12 Kristinka Ivanova , Ivan Iordanov

Link weight is crucial in weighted complex networks. It provides additional dimension for describing and adjusting the properties of networks. The topological role of weight is studied by the effects of random redistribution of link weights…

统计力学 · 物理学 2007-05-23 Menghui Li , Ying Fan , Dahui Wang , Na Liu , Daqing Li , Jinshan Wu , Zengru Di