2 papers
math.CO2025
Noncompact surfaces, triangulations and rigidity
Stephen C. Power
Every noncompact surface is shown to have a (3,6)-tight triangulation, and applications are given to the generic rigidity of countable bar-joint frameworks in R^3. In particular, e…
math.GT2024
Partial triangulations of surfaces with girth constraints
Stephen C. Power
Barnette and Edelson have shown that there are finitely many minimal triangulations of a connected compact 2-manifold M. Similar finiteness results are obtained for cellular partia…