Visualization for the Coloring of \(\omega^4\)
\( 1 \stackrel{2}{\downarrow} 0 \)
\( 2 \stackrel{3}{\downarrow} 1 \)
\( 2 \stackrel{3}{\searrow} 0 \)
\(2 \stackrel{3}{\swarrow} 0\)
\( 2 \stackrel{4}{\searrow} 0 \)
\( 3 \stackrel{4}{\swarrow} 0 \)
\( 3 \stackrel{4}{\downarrow} 1 \)
\( 3 \stackrel{4}{\searrow} 2 \)