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Configuration #22

RSST-R-0022-COQ-2005discharging rule R5

ring size 9

vertices 14 · edges 28

Free completion

edge 0–1edge 0–8edge 0–9edge 0–10edge 1–2edge 1–9edge 1–11edge 1–13edge 2–3edge 2–11edge 2–13edge 3–4edge 3–11edge 3–12edge 3–13edge 4–5edge 4–11edge 4–12edge 5–6edge 5–12edge 6–7edge 7–8edge 7–10edge 8–10edge 9–10edge 9–11edge 9–12edge 11–13vertex 0 · deg 4 · A·vermilion · ringvertex 1 · deg 5 · B·ochre · ringvertex 2 · deg 4 · C·viridian · ringvertex 3 · deg 5 · B·ochre · ringvertex 4 · deg 4 · C·viridian · ringvertex 5 · deg 3 · B·ochre · ringvertex 6 · deg 2 · C·viridian · ringvertex 7 · deg 3 · A·vermilion · ringvertex 8 · deg 3 · C·viridian · ringvertex 9 · deg 5 · C·viridianvertex 10 · deg 4 · B·ochrevertex 11 · deg 6 · A·vermilionvertex 12 · deg 4 · A·vermilionvertex 13 · 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.