Random geometric graph

In graph theory, a random geometric graph (RGG) is the mathematically simplest spatial network, namely an undirected graph constructed by randomly placing...

probability). A HGG generalizes a random geometric graph (RGG) whose embedding space is Euclidean. Mathematically, a HGG is a graph G ( V , E ) {\displaystyle...

In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability...

network is a lattice or a random geometric graph (see figure in the right), where nodes are distributed uniformly at random over a two-dimensional plane;...

Geometric graph theory in the broader sense is a large and amorphous subfield of graph theory, concerned with graphs defined by geometric means. In a...

known as random graph theory, which has been a fruitful source of graph-theoretic results. Topological graph theory deals with the study of graphs as topological...

and geometric group theory. The structure and symmetry of Cayley graphs make them particularly good candidates for constructing expander graphs. Let...

graphs of infinite random point sets, the finite site percolation threshold gives the fraction of points needed to support connectivity: if a random subset...

software originally developed by NRL. The traditional model is the random geometric graph. Early work included simulating ad hoc mobile networks on sparse...

In geometric graph theory, a unit disk graph is the intersection graph of a family of unit disks in the Euclidean plane. That is, it is a graph with one...