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Simple Amazons Endgames and Their Connection to Hamilton Circuits in Cubic Subgrid Graphs Export

Lecture Notes in Computer Science, Vol. 2063 (2001), pp. 250-??.

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complexity games

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Amazons 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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