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physics.soc-ph2017★ 18 cited
Entropy of Spatial Network Ensembles
Justin P. Coon, Carl P. Dettmann, Orestis Georgiou
We analyze complexity in spatial network ensembles through the lens of graph entropy. Mathematically, we model a spatial network as a soft random geometric graph, i.e., a graph wit…
physics.soc-ph2016★ 27 cited
Spectral statistics of random geometric graphs
Carl P. Dettmann, Orestis Georgiou, Georgie Knight
We use random matrix theory to study the spectrum of random geometric graphs, a fundamental model of spatial networks. Considering ensembles of random geometric graphs we look at s…