2 papers
math.MG2023
A Discrete Four Vertex Theorem for Hyperbolic Polygons
Wiktor Mogilski, Kyle Grant
There are many four vertex type theorems appearing in the literature, coming in both smooth and discrete flavors. The most familiar of these is the classical theorem in differentia…
math.MG2010
Polygon Vertex Extremality and Decomposition of Polygons
Wiktor J. Mogilski
In this paper, we show that if we decompose a polygon into two smaller polygons, then by comparing the number of extremal vertices in the original polygon versus the sum of the two…