11 citations · 53 across the 29 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…
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…
Rigid graphs in cylindrical normed spaces
Sean Dewar, Derek Kitson
We characterise rigid graphs for cylindrical normed spaces where is a finite dimensional real normed linear space and is endowed with the prod…
Identifying contact graphs of sphere packings with generic radii
Sean Dewar
Ozkan et al. conjectured that any packing of spheres with generic radii will be stress-free, and hence will have at most contacts. In this paper we prove that this conje…