2 papers
math.MG2026
Flip-graph non-convexity for once-punctured polygons
Lionel Pournin, Zili Wang
The set of the triangulations with vertex set of a simple polygon can be structured into a flip-graph whose edges connect two triangula…
math.GT2025
Flip-graphs of non-orientable filling surfaces
Pallavi Panda, Hugo Parlier, Lionel Pournin
Consider a surface with punctures that serve as marked points and at least one marked point on each boundary component. We build a filling surface by singling out one of…