Graph properties including node degrees, stretch factor, clique and chromatic numbers are considered, as well as link formation, connectivity and planarity transitions. At large distances, the local structure is asymptotically a lattice where for each lattice vector, there is another of length a factor√5 greater, and the angle between these varies log-periodically with distance from the origin. Here, we use the same geometric connection rule (“hard disk graph”) but for a deterministic point set, the sunflower spiral. Properties depend on a combination of the central region and the perturbed distant lattices, in a rich and varied manner.ĪB - The random geometric graph consists of a random point set with links between points with mutual distance below a fixed threshold. N2 - The random geometric graph consists of a random point set with links between points with mutual distance below a fixed threshold.
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