92 citations · 139 across the 14 of their papers we have counts for
9 papers · 1 filter
Liftings of surfaces in the plane
Oleg Karpenkov, Brigitte Servatius, Herman Servatius
In this note we provide a topological definition of Maxwell-Cremona liftings for non-planar frameworks of surfaces (both oriented and non-oriented). In the non-oriented case we giv…
Counting for rigidity under projective transformations in the plane
Leah Wrenn Berman, Signe Lundqvist, Bernd Schulze +4
Let be a set of points and a set of lines in the (extended) Euclidean plane, and , where means that point and line are incid…
Canonical binary -matroids
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
The handle slide operation, originally defined for ribbon graphs, was extended to delta-matroids by I. Moffatt and E. Mphako-Bandab, who show that, using a delta-matroid analogue o…
Maps and -matroids revisited
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
Using Tutte's combinatorial definition of a map we define a -matroid purely combinatorially and show that it is identical to Bouchet's topological definition.
Generate -matroids from matroids
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
We give necessary and sufficient conditions for two matroids on the same ground set to be the upper and lower matroid of a -matroid.
On stratifications for planar tensegrities with a small number of vertices
Oleg Karpenkov, Jan Schepers, Brigitte Servatius
In this paper we discuss several results about the structure of the configuration space of two-dimensional tensegrities with a small number of points. We briefly describe the techn…