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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…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

We propose a model for growing networks based on a finite memory of the nodes. The model shows stylized features of real-world networks: power law distribution of degree, linear preferential attachment of new links and a negative…

Condensed Matter · Physics 2009-11-07 Konstantin Klemm , Victor M. Eguiluz

Nowadays there is a multitude of measures designed to capture different aspects of network structure. To be able to say if the structure of certain network is expected or not, one needs a reference model (null model). One frequently used…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Petter Holme , Jing Zhao

Many investigations of scientific collaboration are based on statistical analyses of large networks constructed from bibliographic repositories. These investigations often rely on a wealth of bibliographic data, but very little or no other…

Data Analysis, Statistics and Probability · Physics 2010-12-24 Alberto Pepe , Marko A. Rodriguez

The degree distribution is an important characteristic of complex networks. In many data analysis applications, the networks should be represented as fixed-length feature vectors and therefore the feature extraction from the degree…

Social and Information Networks · Computer Science 2014-07-23 Sadegh Aliakbary , Jafar Habibi , Ali Movaghar

The degree distribution, referred to as the delta-sequence of a network is studied. Using the non-normalized Lorenz curve, we apply a generalized form of the classical majorization partial order. Next, we introduce a new class of small…

General Mathematics · Mathematics 2024-03-28 Leo Egghe

The success of new scientific areas can be assessed by their potential for contributing to new theoretical approaches and in applications to real-world problems. Complex networks have fared extremely well in both of these aspects, with…

Science and technology systems - and their epistemic communities - are usually hierarchical and composed of a number of strong, large, leading organizations, along with a number of smaller and less influential ones. Moreover, these…

Physics and Society · Physics 2011-12-13 Stefan Hennemann , Tao Wang , Ingo Liefner

Complex networks pervade various real-world systems, from the natural environment to human societies. The essence of these networks is in their ability to transition and evolve from microscopic disorder-where network topology and node…

Social and Information Networks · Computer Science 2025-06-10 Jingtao Ding , Chang Liu , Yu Zheng , Yunke Zhang , Zihan Yu , Ruikun Li , Hongyi Chen , Jinghua Piao , Huandong Wang , Jiazhen Liu , Yong Li

We give exact relations for certain types of the hierarchic fractal structures. In the blatant distinction from regular networks of the "small world" (SW) topology [1], regular fractal networks manifests the logarithmic dependence of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gregory Surdutovich , Vladimir Gol'dshtein , Gennady Koganov

Routing information through networks is a universal phenomenon in both natural and manmade complex systems. When each node has full knowledge of the global network connectivity, finding short communication paths is merely a matter of…

Physics and Society · Physics 2009-05-20 Marian Boguna , Dmitri Krioukov , kc claffy

Complex networks as the World Wide Web, the web of human sexual contacts or criminal networks often do not have an engineered architecture but instead are self-organized by the actions of a large number of individuals. From these local…

Disordered Systems and Neural Networks · Physics 2007-05-23 Holger Ebel , Joern Davidsen , Stefan Bornholdt

Complex networks are at the core of an intense research activity. However, in most cases, intricate and costly measurement procedures are needed to explore their structure. In some cases, these measurements rely on link queries: given two…

Networking and Internet Architecture · Computer Science 2009-04-22 Fabien Tarissan , Matthieu Latapy , Christophe Prieur

Random walks have been proposed as a simple method of efficiently searching, or disseminating information throughout, communication and sensor networks. In nature, animals (such as ants) tend to follow correlated random walks, i.e., random…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Graeme Smith , J. W. Sanders , Qin Li

We study partition of networks into basins of attraction based on a steepest ascent search for the node of highest degree. Each node is associated with, or "attracted" to its neighbor of maximal degree, as long as the degree is increasing.…

Disordered Systems and Neural Networks · Physics 2008-12-30 Shai Carmi , P. L. Krapivsky , Daniel ben-Avraham

Link prediction is an open problem in the complex network, which attracts much research interest currently. However, little attention has been paid to the relation between network structure and the performance of prediction methods. In…

Social and Information Networks · Computer Science 2014-10-28 Xu Feng , Jichang Zhao , Ke Xu

Several fundamental properties of real complex networks, such as the small-world effect, the scale-free degree distribution, and recently discovered topological fractal structure, have presented the possibility of a unique growth mechanism…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Liuhua Zou , Wenjiang Pei , Tao Li , Zhenya He , Yiuming Cheung

There is great interest in predicting rare and extreme events in complex systems, and in particular, understanding the role of network topology in facilitating such events. In this work, we show that degree dispersion -- the fact that the…

Statistical Mechanics · Physics 2019-08-14 Jason Hindes , Michael Assaf

We report the statistical properties of three bus-transport networks (BTN) in three different cities of China. These networks are composed of a set of bus lines and stations serviced by these. Network properties, including the degree…

Physics and Society · Physics 2009-11-13 Xinping Xu , Junhui Hu , Feng Liu , Lianshou Liu

We analyse the large-scale structure of the journal citation network built from information contained in the Thomson-Reuters Journal Citation Reports. To this end, we take advantage of the network science paraphernalia and explore network…

Social and Information Networks · Computer Science 2011-10-19 Massimo Franceschet