Partizan Arc Kayles

Players remove closed neighbourhoods of coloured edges.

Rules

Board. A simple undirected graph (no loops or multiedges). Each edge is labelled with exactly one of the colours blue, red, or green.

Left moves. Choose a blue or green edge and remove its two incident vertices.

Right moves. Choose a red or green edge and remove its two incident vertices.

Convention. Classical (normal or misère play).

Notes

Similarly to Hackenbush, this ruleset is usually played with the edge colours restricted to blue and red (no green edges). To emphasise this, one might say Blue-Red ParcK. When allowing green edges as well, one might say Blue-Red-Green ParcK.