Mathematics – Combinatorics
Scientific paper
2012-02-17
Mathematics
Combinatorics
Scientific paper
Hackenbush is a two player game, played on a graph with coloured edges where
players take it in turns to remove edges of their own colour. It has been shown
that under normal play rules Red-Blue Hackenbush (all edges are coloured either
red or blue) is NP-hard. We will show that Red-Blue Hackenbush is in P, but
that Red-Blue-Green Hackenbush is NP-Hard, when played under mis\`ere rules.
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