Network analysis of Zentralblatt MATH data
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We analyze the data about works (papers, books) from the time period 1990–2010 that are collected in Zentralblatt MATH database. The data were converted into four 2-mode networks (works \(\times \) authors, works \(\times \) journals, works \(\times \) keywords and works \(\times \) mathematical subject classifications) and into a partition of works by publication year. The networks were analyzed using Pajek—a program for analysis and visualization of large networks. We explore the distributions of some properties of works and the collaborations among mathematicians. We also take a closer look at the characteristics of the field of graph theory as were realized with the publications.
KeywordsBibliographic networks Two-mode network Large network Collaboration
Mathematics Subject Classification01A90 00A15 91D30 68R10 93A15
We thank prof. Bernd Wegner and his associates at FIZ Karlsruhe for providing the data, and prof. Tomaž Pisanski and dr. Boris Horvat for their joint part of the work on this project. We also thank Selena Praprotnik and anonymous referees for checking the text and suggesting several improvements. The first author was financed in part by the European Union, European Social Fund. The work was supported in part by the ARRS, Slovenia, Grant J5-5537, as well as by a Grant within the EUROCORES Programme EUROGIGA (project GReGAS) of the European Science Foundation.
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