geometric combinatorics 1global optimization 1heilbronn's problem 1mixed-integer programming 1triangle packing 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.OC2026
Heilbronn's Problem in the Unit Triangle: Certified Optimal Configurations for up to
Nathan Sudermann-Merx
The paper studies Heilbronn's triangle problem in a unit right triangle, proving a boundary-structure property and providing certified globally optimal point configurations for up…
math.OC2026
From Computational Certification to Exact Coordinates: Heilbronn's Triangle Problem on the Unit Square Using Mixed-Integer Optimization
Nathan Sudermann-Merx
We develop a mixed-integer nonlinear programming (MINLP) approach for the classical Heilbronn triangle problem, demonstrating the capability of modern global optimization solvers t…