Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 157-02. A counterexample to the Colin de Verdière chromatic conjecture
Manuscript map · lines 5395–5404
OpenAI@2026-10-07#rem:oai-p-157-02
Authors: OpenAI. Family 157.
Title: A counterexample to the Colin de Verdière chromatic conjecture.
Abstract: We disprove the Colin de Verdière chromatic conjecture by constructing graphs whose chromatic number exceeds their Colin de Verdière invariant by more than one. The examples have independence number at most two. In fact, their ordinary fractional chromatic number also exceeds their Colin de Verdière invariant by more than one.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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