Back to gallery

Configuration #12

RSST-R-0012-COQ-2005discharging rule R4a

ring size 8

vertices 13 · edges 26

Free completion

edge 0–1edge 0–7edge 0–8edge 0–9edge 1–2edge 1–8edge 1–9edge 2–3edge 2–8edge 2–9edge 3–4edge 4–5edge 4–10edge 5–6edge 5–10edge 5–12edge 6–7edge 6–11edge 6–12edge 7–8edge 7–11edge 7–12edge 8–9edge 8–11edge 8–12edge 9–10vertex 0 · deg 4 · C·viridian · ringvertex 1 · deg 4 · D·indigo · ringvertex 2 · deg 4 · C·viridian · ringvertex 3 · deg 2 · B·ochre · ringvertex 4 · deg 3 · A·vermilion · ringvertex 5 · deg 4 · B·ochre · ringvertex 6 · deg 4 · A·vermilion · ringvertex 7 · deg 5 · B·ochre · ringvertex 8 · deg 7 · A·vermilionvertex 9 · deg 5 · B·ochrevertex 10 · deg 3 · C·viridianvertex 11 · deg 3 · C·viridianvertex 12 · deg 4 · C·viridian
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.