Review and Correction of a Two-Coloring Problem in Combinatorial Geometry on the Rational Plane
Shows two proposed proofs of a rational-plane 2-coloring claim are flawed via explicit counterexamples; provides a correct parity-based proof using Gaussian rationals and the De Bruijn–Erdős theorem.
Authors
- Amirhossein MoradiSizkouhi (ORCID: https://orcid.org/0009-0000-3936-1733)
Institutions
- Imam Khomeini International University (IR)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-14
- DOI
- https://doi.org/10.5281/zenodo.22750234
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- preprint