Constraint satisfaction programming for the no-three-in-line problem
Using a constraint satisfaction formulation with rotational symmetry reduction, we exhibit configurations of 2 n points on the n × n grid for every 2 ≤ n ≤ 60 with no three collinear. These computations resolved every previously open case through n = 60 . We describe the formulation, computational search, and empirical scaling of the method.
Authors
- Thomas Prellberg (ORCID: https://orcid.org/0000-0003-0519-6762)
Institutions
- Queen Mary University of London (GB)
Publication Details
- Journal
- Journal of Combinatorial Theory Series A
- Published
- 2026-08-14
- DOI
- https://doi.org/10.1016/j.jcta.2026.106244
- Primary Topic
- Complexity and Algorithms in Graphs
- Type
- article
- Field-Weighted Citation Impact
- 0.00