51 citations · 83 across the 5 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
math.OC2026
Heilbronn's Problem in the Unit Triangle: Certified Optimal Configurations for up to
Nathan Sudermann-Merx
We study Heilbronn's triangle problem in the unit right triangle, where points are placed to maximize the smallest of the triangle areas they span. We prove a bo…
math.OC2026
From Global Optimization to Exact Coordinates: Heilbronn's Triangle Problem on the Unit Square Using Mixed-Integer Nonlinear Optimization
Nathan Sudermann-Merx
We develop a mixed-integer nonlinear programming (MINLP) approach for the Heilbronn triangle problem on the unit square. The formulation exploits the boundary structure of optimal…