Network analysis of collaboration in mathematics
Presented by Ms. Monika CERINšEK
Type: Oral presentation
The Zentralblatt MATH Database stores metadata about mathematical papers and books. It is maintained by the Berlin editorial ooffice of FIZ Karlsruhe in cooperation with European academies and mathematical institutes. We analyzed the ZB data about scientific works published within the period 1990 to 2010. The raw data were converted into four 2-mode networks: works x authors, works x journals, works x keywords and works x MSCs, and a partition of works by publication year. Networks were analyzed separately and in combination with each other using Pajek, a computer program for analysis and visualization of large networks. To reveal the structure of collaboration among mathematicians, we analyzed the collaboration network that was produced from the network works x authors by multiplication of networks. Different normalization of the so obtained network are considered. Groups of collaborating mathematicians can be identifed by generalized cores. Another way of grouping authors is by using line islands. They partition the authors geographically or by mathematical disciplines. We also investigate how the collaboration is changing through time and the interactions between different disciplines (as determined by the MSCs).
Location: Portorož, Slovenia
Address: University of Primorska, Faculty of Tourism Studies, Obala 11a, SI-6320 Portorož - Portorose, Slovenia