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Configuration #56

RSST-R-0056-COQ-2005discharging rule R7

ring size 7

vertices 9 · edges 14

Free completion

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