Hexagonal mesh and torus, as well as honeycomb and certain other pruned torus networks, are known to belong to the class of Cayley graphs which are node-symmetric and possess othe...
Currently, large-scale projects are underway to perform whole genome disease association studies. Such studies involve the genotyping of hundreds of thousands of SNP markers. One o...
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
Given a network G = (V, E), we say that a subset of vertices S ⊆ V has radius r if it is spanned by a tree of depth at most r. We are interested in determining whether G has a cu...
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...