face_monochromatic_pairs: fix Remark 5.6 formatting
The disproof of Conjecture 5.5 used \[ ... \qquad\text{and}\qquad ... \]
to give both cycle definitions on a single display line. The second
half was too long to fit, producing a wide gap and an ugly line break.
Switch to align* with the two definitions stacked and aligned at =.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
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@@ -833,13 +833,12 @@ Figure~\ref{fig:no-two-constant-kempe-counterexample} exhibits a
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concrete counterexample: a cubic plane graph $H$ on $40$ vertices with
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a proper $3$-edge-colouring $\varphi$ (colours red/blue/green) in
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which both
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\[
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\begin{align*}
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K_{\mathrm{red},\mathrm{blue}}
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\;=\; \text{the outer $8$-cycle}
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\qquad\text{and}\qquad
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&= \text{the outer $8$-cycle, and} \\
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K_{\mathrm{red},\mathrm{green}}
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\;=\; \text{the $12$-cycle (outer + upper-left ``ladder'' side)}
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\]
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&= \text{the $12$-cycle (outer frame $+$ upper-left ``ladder'' side)}
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\end{align*}
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share the colour-red edge $(0, 7)$ and satisfy
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$h_\varphi \equiv -1$ on the vertex set of each. Globally $h_\varphi$
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takes value $+1$ on $16$ vertices and $-1$ on $24$ vertices, with all
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