Centrality analysis for modified lattices

Paton, Martin and Akartunali, Kerem and Higham, Desmond J. (2017) Centrality analysis for modified lattices. SIAM Journal on Matrix Analysis and Applications, 38 (3). 1055–1073. ISSN 0895-4798 (https://doi.org/10.1137/17M1114247)

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We derive new, exact expressions for network centrality vectors associated with classical Watts-Strogatz style "ring plus shortcut" networks. We also derive easy-to-interpret approximations that are highly accurate in the large network limit. The analysis helps us to understand the role of the Katz parameter and the PageRank parameter, to compare linear system and eigenvalue based centrality measures, and to predict the behavior of centrality measures on more complicated networks.