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Simple Amazons Endgames and Their Connection to Hamilton Circuits in Cubic Subgrid Graphsby: Michael Buro
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AbstractAmazons is a young board game with simple rules and a high branching factor, which makes it a suitable test-bed for planning research. This paper considers the computational complexity of amazons puzzles and restricted amazons endgames. We first prove the NP-- completeness of the Hamilton circuit problem for cubic subgraphs of the integer grid. This result is then used to show that solving amazons puzzles is a NP-complete task and determining the winner of simple amazons endgames is...
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