29 citations · 36 across the 5 of their papers we have counts for
5 papers
Geometric scale-free random graphs on mobile vertices: broadcast and percolation times
Peter Gracar, Arne Grauer
We study the phenomenon of information propagation on mobile geometric scale-free random graphs, where vertices instantaneously pass on information to all other vertices in the sam…
The contact process on scale-free geometric random graphs
Peter Gracar, Arne Grauer
We study the contact process on a class of geometric random graphs with scale-free degree distribution, defined on a Poisson point process on . This class includes th…
Chemical distance in geometric random graphs with long edges and scale-free degree distribution
Peter Gracar, Arne Grauer, Peter Mörters
We study geometric random graphs defined on the points of a Poisson process in -dimensional space, which additionally carry independent random marks. Edges are established at ra…
Preferential attachment with location-based choice: Degree distribution in the noncondensation phase
Arne Grauer, Lukas Lüchtrath, Mark Yarrow
We consider the preferential attachment model with location-based choice introduced by Haslegrave, Jordan and Yarrow as a model in which condensation phenomena can occur [Haslegrav…
The age-dependent random connection model
Peter Gracar, Arne Grauer, Lukas Lüchtrath +1
We investigate a class of growing graphs embedded into the -dimensional torus where new vertices arrive according to a Poisson process in time, are randomly placed in space and…