38 citations · 130 across the 21 of their papers we have counts for
5 papers · 1 filter
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 existence of paradoxical motions of generically rigid graphs on the sphere
Matteo Gallet, Georg Grasegger, Jan Legerský +1
We interpret realizations of a graph on the sphere up to rotations as elements of a moduli space of curves of genus zero. We focus on those graphs that admit an assignment of edge…
Counting realizations of Laman graphs on the sphere
Matteo Gallet, Georg Grasegger, Josef Schicho
We present an algorithm that computes the number of realizations of a Laman graph on a sphere for a general choice of the angles between the vertices. The algorithm is based on the…
Probabilities of incidence between lines and a plane curve over finite fields
Mehdi Makhul, Josef Schicho, Matteo Gallet
We study the probability for a random line to intersect a given plane curve, defined over a finite field, in a given number of points defined over the same field. In particular, we…
The diffeomorphism type of small hyperplane arrangements is combinatorially determined
Matteo Gallet, Elia Saini
It is known that there exist hyperplane arrangements with same underlying matroid that admit non-homotopy equivalent complement manifolds. In this work we show that, in any rank, c…