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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22750235
Primary Topic
Advanced Combinatorial Mathematics
Type
preprint
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preprint

Review and Correction of a Two-Coloring Problem in Combinatorial Geometry on the Rational Plane

Amirhossein MoradiSizkouhi
Zenodo (CERN European Organization for Nuclear Research)
Advanced Combinatorial Mathematics
preprint

Review and Correction of a Two-Coloring Problem in Combinatorial Geometry on the Rational Plane

Amirhossein MoradiSizkouhi
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Imam Khomeini International University (IR)
Advanced Combinatorial Mathematics
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Review and Correction of a Two-Coloring Problem in Combinatorial Geometry on the Rational Plane — Amirhossein MoradiSizkouhi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS