48 citations · 332 across the 72 of their papers we have counts for
4 papers · 1 filter
Network connectivity through small openings
Orestis Georgiou, Carl P. Dettmann, Justin Coon
Network connectivity is usually addressed for convex domains where a direct line of sight exists between any two transmitting/receiving nodes. Here, we develop a general theory for…
k-connectivity for confined random networks
Orestis Georgiou, Carl P. Dettmann, Justin Coon
k-connectivity is an important measure of network robustness and resilience to random faults and disruptions. We undertake both local and global approaches to k-connectivity and ca…
Full Connectivity: Corners, edges and faces
Justin Coon, Carl P. Dettmann, Orestis Georgiou
We develop a cluster expansion for the probability of full connectivity of high density random networks in confined geometries. In contrast to percolation phenomena at lower densit…
Impact of boundaries on fully connected random geometric networks
Justin Coon, Carl P. Dettmann, Orestis Georgiou
Many complex networks exhibit a percolation transition involving a macroscopic connected component, with universal features largely independent of the microscopic model and the mac…