28 citations · 110 across the 30 of their papers we have counts for
4 papers · 1 filter
The number of realisations of a rigid graph in Euclidean and spherical geometries
Sean Dewar, Georg Grasegger
A graph is -rigid if for any generic realisation of the graph in (equivalently, the -dimensional sphere ), there are only finitely many non-congr…
Calligraphs and sphere realizations
Matteo Gallet, Georg Grasegger, Niels Lubbes +1
We introduce a recursive procedure for computing the number of realizations of a minimally rigid graph on the sphere up to rotations. We accomplish this by combining two ingredient…
On the uniqueness of collections of pennies and marbles
Sean Dewar, Georg Grasegger, Kaie Kubjas +2
In this note we study the uniqueness problem for collections of pennies and marbles. More generally, consider a collection of unit -spheres that may touch but not overlap. Given…
Flexibility and rigidity of frameworks consisting of triangles and parallelograms
Georg Grasegger, Jan Legerský
A framework, which is a (possibly infinite) graph with a realization of its vertices in the plane, is called flexible if it can be continuously deformed while preserving the edge l…