Back to gallery

Configuration #28

RSST-R-0028-COQ-2005discharging rule R4a

ring size 6

vertices 9 · edges 16

Free completion

edge 0–1edge 0–5edge 0–6edge 0–8edge 1–2edge 2–3edge 3–4edge 3–6edge 3–7edge 4–5edge 4–6edge 4–7edge 5–6edge 5–8edge 6–7edge 7–8vertex 0 · deg 4 · B·ochre · ringvertex 1 · deg 2 · A·vermilion · ringvertex 2 · deg 2 · B·ochre · ringvertex 3 · deg 4 · C·viridian · ringvertex 4 · deg 4 · B·ochre · ringvertex 5 · deg 4 · C·viridian · ringvertex 6 · deg 5 · A·vermilionvertex 7 · deg 4 · D·indigovertex 8 · deg 3 · A·vermilion
100%

Outer cycle (bold ring) is the configuration's boundary; interior vertices form the reducible piece. A configuration is D-reducible when every 4-coloring of its ring either extends to the interior or can be Kempe-modified into one that does.