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The Communications and Networks Collaborative Technology Alliance Publication Network: A Case Study on Graph and Simplicial Complex Analysis
Final rept. May 2012-Dec 2014
ARMY RESEARCH LAB ADELPHI MD COMPUTATIONAL AND INFORMATION SCIENCES DIRECTORATE
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This report examines the co-authorship network from the publication record of the Communication and Networks Collaborative Technology Alliance CN CTA. In addition to several traditional graph properties, we examine various simplicial complex properties of the network where the simplex structure is generated by the group of co-authors on individual papers. In particular, we study aspects of the connectivity of k-simplices and k-facets. We study particular centrality characteristics, revealing inherent properties of co-authorship networks, including facet degrees follow a power law distribution, homology cycles intersect, and minimal non-faces are due to independent clustering. We also study more traditional topological properties of the network, including Q-analysis, f-vectors, and the Euler characteristic.
APPROVED FOR PUBLIC RELEASE