Evolutionary events in a mathematical sciences research collaboration network

Jason Cory Brunson, Steve Fassino, Antonio McInnes, Monisha Narayan, Brianna Richardson, Christopher Franck, Patrick Ion and Reinhard Laubenbacher ()
Additional contact information
Jason Cory Brunson: Virginia Bioinformatics Institute
Steve Fassino: University of Tennessee
Antonio McInnes: Oakwood University
Monisha Narayan: Michigan State University
Brianna Richardson: Oakwood University
Christopher Franck: Laboratory for Interdisciplinary Statistical Analysis
Patrick Ion: Mathematical Reviews
Reinhard Laubenbacher: University of Connecticut Health Center

Scientometrics, 2014, vol. 99, issue 3, No 20, 973-998

Abstract: Abstract This study examines long-term trends and shifting behavior in the collaboration network of mathematics literature, using a subset of data from Mathematical Reviews spanning 1985–2009. Rather than modeling the network cumulatively, this study traces the evolution of the “here and now” using fixed-duration sliding windows. The analysis uses a suite of common network diagnostics, including the distributions of degrees, distances, and clustering, to track network structure. Several random models that call these diagnostics as parameters help tease them apart as factors from the values of others. Some behaviors are consistent over the entire interval, but most diagnostics indicate that the network’s structural evolution is dominated by occasional dramatic shifts in otherwise steady trends. These behaviors are not distributed evenly across the network; stark differences in evolution can be observed between two major subnetworks, loosely thought of as “pure” and “applied”, which approximately partition the aggregate. The paper characterizes two major events along the mathematics network trajectory and discusses possible explanatory factors.

Keywords: Mathematics research; Collaboration networks; Evolving networks; 91D30; 05C82 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11192-013-1209-z

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