Abstract In this work we analyze structural and spectral properties of a model directed random geometric graphs: given n vertices uniformly independently distributed on the unit square, edge is set between two if their distance smaller than connection radius ℓ , which random...

We study the richness of ensemble graphical structures (i.e., unlabeled graphs) one-dimensional random geometric graph model defined by $n$ nodes randomly scattered in [0, 1] that connect if they are within connection range notation="...