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It appeared recently that the classical random graph model used to represent real-world complex networks does not capture their main properties. Since then, various attempts have been made to provide accurate models. We study here a model…

Statistical Mechanics · Physics 2021-03-22 Jean-Loup Guillaume , Matthieu Latapy

The exponential increase in the number of scientific publications raises the question of whether the sciences are expanding into a fractured structure, making cross-field communication difficult. On the other hand, scientists may be…

Social and Information Networks · Computer Science 2019-11-13 Attila Varga

Several studies exist which use scientific literature for comparing scientific activities (e.g., productivity, and collaboration). In this study, using co-authorship data over the last 40 years, we present the evolutionary dynamics of multi…

Social and Information Networks · Computer Science 2011-08-01 Alireza Abbasi , Liaquat Hossain , Shahadat Uddin , Kim J. R. Rasmussen

It has been shown that many complex networks shared distinctive features, which differ in many ways from the random and the regular networks. Although these features capture important characteristics of complex networks, their applicability…

Physics and Society · Physics 2009-11-11 Chang-Yong Lee , Sunghwan Jung

Complex networks can be understood as graphs whose connectivity deviates from those of regular or near-regular graphs, which are understood as being `simple'. While a great deal of the attention so far dedicated to complex networks has been…

Data Analysis, Statistics and Probability · Physics 2008-08-29 Luciano da Fontoura Costa , Francisco A. Rodrigues

We present exact results for the degree distribution in a directed network model that grows by node duplication (ND). Such models are useful in the study of the structure and growth dynamics of gene regulatory networks and scientific…

Physics and Society · Physics 2019-08-21 Chanania Steinbock , Ofer Biham , Eytan Katzav

The aggregated journal-journal citation matrix derived from the Journal Citation Reports 2001 can be decomposed into a unique subject classification by using the graph-analytical algorithm of bi-connected components. This technique was…

Digital Libraries · Computer Science 2009-12-08 Loet Leydesdorff

Certain areas of scientific research flourish while others lose advocates and attention. We are interested in whether structural patterns within citation networks correspond to the growth or decline of the research areas to which those…

Social and Information Networks · Computer Science 2017-08-15 Benjamin W. Stewart , Andy Rivas , Luat T. Vuong

In recent years, neural networks have proven to be effective in Chinese word segmentation. However, this promising performance relies on large-scale training data. Neural networks with conventional architectures cannot achieve the desired…

Computation and Language · Computer Science 2017-11-07 Jingjing Xu , Xu Sun , Sujian Li , Xiaoyan Cai , Bingzhen Wei

In this theoretical study, we analyze quantum walks on complex networks, which model network-based processes ranging from quantum computing to biology and even sociology. Specifically, we analytically relate the average long time…

Quantum Physics · Physics 2014-02-26 Mauro Faccin , Tomi Johnson , Jacob Biamonte , Sabre Kais , Piotr Migdał

Self-avoiding random walks were performed on protein residue networks. Compared with protein residue networks with randomized links, the probability of a walk being successful is lower and the length of successful walks shorter in…

Molecular Networks · Quantitative Biology 2013-06-11 Susan Khor

Many complex systems can be described in terms of networks of interacting units. Recent studies have shown that a wide class of both natural and artificial nets display a surprisingly widespread feature: the presence of highly heterogeneous…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Ferrer i Cancho , R. V. Sole

A random network model which allows for tunable, quite general forms of clustering, degree correlation and degree distribution is defined. The model is an extension of the configuration model, in which stubs (half-edges) are paired to form…

Probability · Mathematics 2012-07-31 Frank Ball , Tom Britton , David Sirl

Traffic networks have been proved to be fractal systems. However, previous studies mainly focused on monofractal networks, while complex systems are of multifractal structure. This paper is devoted to exploring the general regularities of…

Physics and Society · Physics 2022-11-09 Yuqing Long , Yanguang Chen

We give exact relations which are valid for small-world networks (SWN's) with a general `degree distribution', i.e the distribution of nearest-neighbor connections. For the original SWN model, we illustrate how these exact relations can be…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Almaas , R. V. Kulkarni , D. Stroud

In this paper, a random clique network model to mimic the large clustering coefficient and the modular structure that exist in many real complex networks, such as social networks, artificial networks, and protein interaction networks, is…

Physics and Society · Physics 2017-05-05 Yi-Min Ding , Jun Meng , Jing-Fang Fan , Fang-Fu Ye , Xiao-Song Chen

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…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Higher order clustering coefficients $C(x)$ are introduced for random networks. The coefficients express probabilities that the shortest distance between any two nearest neighbours of a certain vertex $i$ equals $x$, when one neglects all…

Disordered Systems and Neural Networks · Physics 2009-11-07 Agata Fronczak , Janusz A. Holyst , Maciej Jedynak , Julian Sienkiewicz

The clustering coefficient, path length and average vertex degree of two urban train line networks have been calculated. The results are compared with theoretical predictions for appropriate random bipartite graphs. They have also been…

Condensed Matter · Physics 2009-11-10 Katherine A Seaton , Lisa M Hackett

To comprehend the multipartite organization of large-scale biological and social systems, we introduce a new information theoretic approach that reveals community structure in weighted and directed networks. The method decomposes a network…

Physics and Society · Physics 2008-02-13 M. Rosvall , C. T. Bergstrom