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math.CO2026
Non-Euclidean Crystallographic Rigidity
Jack Esson, Eleftherios Kastis, Bernd Schulze
This paper establishes combinatorial characterisations of forced-symmetric and forced-periodic rigidity (under a fixed lattice) of bar-joint frameworks in non-Euclidean normed plan…
math.CO2025
Triangulated spheres with holes in triangulated surfaces
Katie Clinch, Sean Dewar, Niloufar Fuladi +6
Let denote a sphere with holes. Given a triangulation of a surface , we consider the question of when contains a spanning subgraph such t…
math.CO2025
Orientation-Reversing Crystallographic Rigidity
Jack Esson, Eleftherios Kastis, Bernd Schulze
This paper provides a combinatorial characterisation for generic forced symmetric rigidity of bar-joint frameworks in the Euclidean plane that are symmetric with respect to the ori…