The scale-free model for citation network

Author(s):  
Ming-Yang Wang ◽  
Guang Yu ◽  
Da-Ren Yu
2013 ◽  
Vol 753-755 ◽  
pp. 2959-2962
Author(s):  
Jun Tao Yang ◽  
Hui Wen Deng

Assigning the value of interest to each node in the network, we give a scale-free network model. The value of interest is related to the fitness and the degree of the node. Experimental results show that the interest model not only has the characteristics of the BA scale-free model but also has the characteristics of fitness model, and the network has a power-law distribution property.


2014 ◽  
Vol 405 ◽  
pp. 151-158 ◽  
Author(s):  
E. Ruiz Vargas ◽  
D.G.V. Mitchell ◽  
S.G. Greening ◽  
L.M. Wahl

2007 ◽  
Vol 75 (5) ◽  
Author(s):  
Maksim Kitsak ◽  
Shlomo Havlin ◽  
Gerald Paul ◽  
Massimo Riccaboni ◽  
Fabio Pammolli ◽  
...  

2013 ◽  
Vol 9 (1) ◽  
Author(s):  
Samile Andréa de Souza Vanz

Resumo A teoria de redes passou a ser muito utilizada pela Bibliometria e Cientometria porque auxilia na interpretação e no entendimento dos dados resultantes das pesquisas realizadas na área. O artigo aborda um breve histórico das redes comentando desde o modelo aleatório de Erdós e Rényi aos modelos mais atuais. Apresenta as medidas mais importantes para redes de coautoria, como densidade e medidas de centralidade. Descreve pesquisas empíricas aplicadas em redes de coautoria e suas descobertas, como a propriedade de conexão preferencial, o nível de agrupamento e o modelo sem escala. Conclui que o entendimento da teoria de redes é fundamental para o estudo do fenômeno da coautoria e que os pesquisadores interessados na temática devem ampliar o uso da mesma em suas pesquisas.Palavras-chave Redes de coautoria, colaboração científica. Abstract The network theory became widely used for Bibliometrics and Scientometrics because it helps in the understanding and interpretation of data resulting from these studies. This article covers a brief history of networks and comments from the random model of Erdós and Rényi to most current models. It presents the most important measures for co-author networks, such as density and centrality measures. It also describes applied empirical research on networks of co-authorship and its findings, as the preferential attachment, cluster property and scale free model. The article concludes that the understanding of the network theory is crucial to the study of the phenomenon of co-authorship and that researchers interested in the subject should expand the use of this theory in their research.Keywords Co-author network, scientific collaboration.


Author(s):  
Anshul Kanakia ◽  
Kuansan Wang ◽  
Yuxiao Dong ◽  
Boya Xie ◽  
Kyle Lo ◽  
...  

On the behest of the Office of Science and Technology Policy in the White House, six institutions, including ours, have created an open research dataset called COVID-19 Research Dataset (CORD-19) to facilitate the development of question-answering systems that can assist researchers in finding relevant research on COVID-19. As of May 27, 2020, CORD-19 includes more than 100,000 open access publications from major publishers and PubMed as well as preprint articles deposited into medRxiv, bioRxiv, and arXiv. Recent years, however, have also seen question-answering and other machine learning systems exhibit harmful behaviors to humans due to biases in the training data. It is imperative and only ethical for modern scientists to be vigilant in inspecting and be prepared to mitigate the potential biases when working with any datasets. This article describes a framework to examine biases in scientific document collections like CORD-19 by comparing their properties with those derived from the citation behaviors of the entire scientific community. In total, three expanded sets are created for the analyses: 1) the enclosure set CORD-19E composed of CORD-19 articles and their references and citations, mirroring the methodology used in the renowned “A Century of Physics” analysis; 2) the full closure graph CORD-19C that recursively includes references starting with CORD-19; and 3) the inflection closure CORD-19I, that is, a much smaller subset of CORD-19C but already appropriate for statistical analysis based on the theory of the scale-free nature of the citation network. Taken together, all these expanded datasets show much smoother trends when used to analyze global COVID-19 research. The results suggest that while CORD-19 exhibits a strong tilt toward recent and topically focused articles, the knowledge being explored to attack the pandemic encompasses a much longer time span and is very interdisciplinary. A question-answering system with such expanded scope of knowledge may perform better in understanding the literature and answering related questions. However, while CORD-19 appears to have topical coverage biases compared to the expanded sets, the collaboration patterns, especially in terms of team sizes and geographical distributions, are captured very well already in CORD-19 as the raw statistics and trends agree with those from larger datasets.


2005 ◽  
Vol 15 (05) ◽  
pp. 1745-1755 ◽  
Author(s):  
MICHAEL SMALL ◽  
CHI K. TSE

We model transmission of the Severe Acute Respiratory Syndrome (SARS) associated coronavirus (SARS-CoV) in Hong Kong with a complex small world network. Each node in the network is connected to its immediate neighbors and a random number of geographically isolated nodes. Transmission can only occur along these links. We find that this model exhibits dynamics very similar to those observed during the SARS outbreak in 2003. We derive an analytic expression for the rate of infection and confirm this expression with computational simulations. An immediate consequence of this quantity is that the severity of the SARS epidemic in Hong Kong in 2003 was due to ineffectual infection control in hospitals (i.e. nosocomial transmission). If all infectious individuals were isolated as rapidly as they were identified the severity of the outbreak would have been minimal.


2006 ◽  
Vol 43 (04) ◽  
pp. 1173-1180 ◽  
Author(s):  
Massimo Franceschetti ◽  
Ronald Meester

The small-world phenomenon, the principle that we are all linked by a short chain of intermediate acquaintances, has been investigated in mathematics and social sciences. It has been shown to be pervasive both in nature and in engineering systems like the World Wide Web. Work of Jon Kleinberg has shown that people, using only local information, are very effective at finding short paths in a network of social contacts. In this paper we argue that the underlying key to finding short paths is scale invariance. In order to appreciate scale invariance we suggest a continuum setting, since true scale invariance happens at all scales, something which cannot be observed in a discrete model. We introduce a random-connection model that is related to continuum percolation, and we prove the existence of a unique scale-free model, among a large class of models, that allows the construction, with high probability, of short paths between pairs of points separated by any distance.


2010 ◽  
Vol 19 (7) ◽  
pp. 070204 ◽  
Author(s):  
Liu Xuan ◽  
Liu Tian-Qi ◽  
Wang Hao ◽  
Li Xing-Yuan
Keyword(s):  

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