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Configuration #5

RSST-R-0005-COMP-1976discharging rule R4b

ring size 10

vertices 14 · edges 25

Free completion

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