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Configuration #43

RSST-R-0043-COQ-2005discharging rule R3

ring size 12

vertices 15 · edges 23

Free completion

edge 0–1edge 0–11edge 1–2edge 2–3edge 3–4edge 4–5edge 5–6edge 6–7edge 7–8edge 8–9edge 8–12edge 8–13edge 9–10edge 9–12edge 9–13edge 9–14edge 10–11edge 10–12edge 10–13edge 10–14edge 11–14edge 12–13edge 12–14vertex 0 · deg 2 · B·ochre · ringvertex 1 · deg 2 · A·vermilion · ringvertex 2 · deg 2 · B·ochre · ringvertex 3 · deg 2 · A·vermilion · ringvertex 4 · deg 2 · B·ochre · ringvertex 5 · deg 2 · A·vermilion · ringvertex 6 · deg 2 · B·ochre · ringvertex 7 · deg 2 · A·vermilion · ringvertex 8 · deg 4 · B·ochre · ringvertex 9 · deg 5 · A·vermilion · ringvertex 10 · deg 5 · B·ochre · ringvertex 11 · deg 3 · A·vermilion · ringvertex 12 · deg 5 · C·viridianvertex 13 · deg 4 · D·indigovertex 14 · 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.