28 citations · 110 across the 30 of their papers we have counts for
4 papers · 1 filter
Counting fibres of the Hadamard product using Bergman fans
Oliver Clarke, Sean Dewar, Matteo Gallet +3
We study the generic fibre of the Hadamard product of linear spaces via matroid theory and tropical geometry. To do so, we introduce the flip product, a numerical invariant associa…
Computing the number of realisations of a rigid graph
Sean Dewar, Georg Grasegger, Josef Schicho +2
A graph is said to be rigid if, given a generic realisation of the graph as a bar-and-joint framework in the plane, there exist only finitely many other realisations of the graph w…
PyRigi -- a general-purpose Python package for the rigidity and flexibility of bar-and-joint frameworks
Matteo Gallet, Georg Grasegger, Matthias Himmelmann +1
We present PyRigi, a novel Python package designed to study the rigidity properties of graphs and frameworks. Among many other capabilities, PyRigi can determine whether a graph ad…
Explorations on the number of realizations of minimally rigid graphs
Georg Grasegger
Rigid graphs have only finitely many realizations. In the recent years significant progress was made in computing the number of such realizations. With this progress it was also po…