Misere Hackenbush is NP-Hard
Combinatorics
2012-04-04 v2
Abstract
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.
Cite
@article{arxiv.1202.4658,
title = {Misere Hackenbush is NP-Hard},
author = {Fraser Stewart},
journal= {arXiv preprint arXiv:1202.4658},
year = {2012}
}