Abstract-A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure communication in the presence of eavesdroppers is possible. The underlying point process models considered are lattices and Poisson point processes. In the lattice case, analogies to standard bond and site percolation can be exploited to determine percolation thresholds. In the Poisson case, the node degrees are determined and percolation is studied using analytical bounds and simulations. It turns out that a small density of eavesdroppers already has a drastic impact on the connectivity of the secrecy graph.
Based on this model, the secrecy graph, a random geometric graph that only includes edges along which secure communication is possible was introduced and studied in REF .
The Secrecy Graph and Some of its Properties
2008 IEEE International Symposium on Information Theory
2008 IEEE International Symposium on Information Theory
Computer Science Mathematics