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Statistical methods have been widely employed in many practical natural language processing applications. More specifically, complex networks concepts and methods from dynamical systems theory have been successfully applied to recognize…

Computation and Language · Computer Science 2015-03-04 Diego R. Amancio

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

The Zipf's law is the major regularity of statistical linguistics that served as a prototype for rank-frequency relations and scaling laws in natural sciences. Here we show that the Zipf's law -- together with its applicability for a single…

Data Analysis, Statistics and Probability · Physics 2015-06-15 Armen E. Allahverdyan , Weibing Deng , Q. A. Wang

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

Disordered Systems and Neural Networks · Physics 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

Zipf's law describes the empirical size distribution of the components of many systems in natural and social sciences and humanities. We show, by solving a statistical model, that Zipf's law co-occurs with the maximization of the diversity…

Statistical Mechanics · Physics 2021-10-05 Onofrio Mazzarisi , Amanda de Azevedo-Lopes , Jeferson J. Arenzon , Federico Corberi

We present a comparative analysis of text complexity across domains using scale-free metrics. We quantify linguistic complexity via Heaps' exponent $\beta$ (vocabulary growth), Taylor's exponent $\alpha$ (word-frequency fluctuation…

Computation and Language · Computer Science 2025-09-23 Haoyang Chen , Kumiko Tanaka-Ishii

Research collaborations provide the foundation for scientific advances, but we have only recently begun to understand how they form and grow on a global scale. Here we analyze a model of the growth of research collaboration networks to…

Physics and Society · Physics 2021-01-28 Keith A. Burghardt , Allon G. Percus , Kristina Lerman

In this paper we analyse network motifs in the co-occurrence directed networks constructed from five different texts (four books and one portal) in the Croatian language. After preparing the data and network construction, we perform the…

Computation and Language · Computer Science 2014-11-19 Hana Rizvić , Sanda Martinčić-Ipšić , Ana Meštrović

A small-world topology characterizes many complex systems including the structural and functional organization of brain networks. The topology allows simultaneously for local and global efficiency in the interaction of the system…

Physics and Society · Physics 2015-05-30 Sinisa Pajevic , Dietmar Plenz

Complex networks describe a wide range of systems in nature and society. Frequently cited examples include Internet, WWW, a network of chemicals linked by chemical reactions, social relationship networks, citation networks, etc. The…

Physics and Society · Physics 2013-02-26 James Kim

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

We compare the social character networks of biographical, legendary and fictional texts, in search for marks of genre differentiation. We examine the degree distribution of character appearance and find a power law that does not depend on…

Social and Information Networks · Computer Science 2018-10-16 Adriano J. Holanda , Mariane Matias , Sueli M. S. P. Ferreira , Gisele M. L. Benevides , Osame Kinouchi

The understanding of the immense and intricate topological structure of the World Wide Web (WWW) is a major scientific and technological challenge. This has been tackled recently by characterizing the properties of its representative graphs…

Networking and Internet Architecture · Computer Science 2008-01-23 M. Angeles Serrano , Ana Maguitman , Marian Boguna , Santo Fortunato , Alessandro Vespignani

According to Zipf's meaning-frequency law, words that are more frequent tend to have more meanings. Here it is shown that a linear dependency between the frequency of a form and its number of meanings is found in a family of models of…

Computation and Language · Computer Science 2016-10-14 Ramon Ferrer-i-Cancho

We study two kinds of weighted networks, weighted small-world (WSW) and weighted scale-free (WSF). The weight $w_{ij}$ of a link between nodes $i$ and $j$ in the network is defined as the product of endpoint node degrees; that is…

Statistical Mechanics · Physics 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Ying-Hai Wang

Recently, the focus of complex networks research has shifted from the analysis of isolated properties of a system toward a more realistic modeling of multiple phenomena - multilayer networks. Motivated by the prosperity of multilayer…

Computation and Language · Computer Science 2015-07-31 Domagoj Margan , Ana Meštrović , Sanda Martinčić-Ipšić

We analyze the occurrence frequencies of over 15 million words recorded in millions of books published during the past two centuries in seven different languages. For all languages and chronological subsets of the data we confirm that two…

Physics and Society · Physics 2012-12-12 Alexander M. Petersen , Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley , Matjaz Perc

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

Several complex systems are characterized by presenting intricate characteristics taking place at several scales of time and space. These multiscale characterizations are used in various applications, including better understanding…

Computation and Language · Computer Science 2023-05-12 Bárbara C. e Souza , Filipi N. Silva , Henrique F. de Arruda , Giovana D. da Silva , Luciano da F. Costa , Diego R. Amancio

We performed a large-scale crawl of the World Wide Web, covering 6.9 Million domains and 57 Million subdomains, including all high-traffic sites of the Internet. We present a study of the correlations found between quantities measuring the…

Physics and Society · Physics 2015-06-12 G. A. Luduena , H. Meixner , Gregor Kaczor , Claudius Gros