Showing 2022Show all
2 papers · 1 filter
cs.CG2022
The Tight Spanning Ratio of the Rectangle Delaunay Triangulation
Andrè van Renssen, Yuan Sha, Yucheng Sun +1
Spanner construction is a well-studied problem and Delaunay triangulations are among the most popular spanners. Tight bounds are known if the Delaunay triangulation is constructed…
math.DG2022
Min-max free boundary minimal surface with genus at least one
Yuchin Sun
In this paper, we build up a min-max theory for minimal surfaces using sweepouts of surfaces of genus and ideal boundary components. We show that the width for…