This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...
The space of topological decompositions into triangulations of a surface has a natural graph structure where two triangulations share an edge if they are related by a so-called flip. This space is a ...
Various constructions for cospectral graphs, used in the investigation of isospectral molecules, are explained in terms of certain geometrical invariants of eutactic stars associated with a graph.