747 citations · 1.5k across the 47 of their papers we have counts for
6 papers · 1 filter
Network connectivity in non-convex domains with reflections
Orestis Georgiou, Mohammud Z. Bocus, Mohammed R. Rahman +2
Recent research has demonstrated the importance of boundary effects on the overall connection probability of wireless networks but has largely focused on convex deployment regions.…
Random geometric graphs with general connection functions
Carl P. Dettmann, Orestis Georgiou
In the original (1961) Gilbert model of random geometric graphs, nodes are placed according to a Poisson point process, and links formed between those within a fixed range. Motivat…
Betweenness Centrality in Dense Random Geometric Networks
Alexander P. Kartun-Giles, Orestis Georgiou, Carl P. Dettmann
Random geometric networks consist of 1) a set of nodes embedded randomly in a bounded domain and 2) links formed probabilistically according to…
More is less: Connectivity in fractal regions
Carl P. Dettmann, Orestis Georgiou, Justin P. Coon
Ad-hoc networks are often deployed in regions with complicated boundaries. We show that if the boundary is modeled as a fractal, a network requiring line of sight connections has t…
Connectivity in Dense Networks Confined within Right Prisms
Justin P. Coon, Orestis Georgiou, Carl P. Dettmann
We consider the probability that a dense wireless network confined within a given convex geometry is fully connected. We exploit a recently reported theory to develop a systematic…
Network Connectivity: Stochastic vs. Deterministic Wireless Channels
Orestis Georgiou, Carl P. Dettmann, Justin P. Coon
We study the effect of stochastic wireless channel models on the connectivity of ad hoc networks. Unlike in the deterministic geometric disk model where nodes connect if they are w…