Let $G=(V,E)$ be an arbitrary indecomposable k-colour-critical graph ($k\geq4$). Is it in general possible to find a cut $C=(S,T)$, such that $S$ is a $k-1$-chromatic graph and $T$ is the complete Graph of Order $2$? Or are there any "obvious" counterexamples i have overlooked?
2026-03-02 15:01:28.1772463688
Cutting a colour-critical indecomposable graph
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