Communications and Networks Collaborative Technology Alliance Publication Network: A Case Study on Graph and Simplicial Complex Analysis.

摘要

This report examines the co-authorship network from the publication record of the Communication and Networks Collaborative Technology Alliance (C&N 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.