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

  • Michael Buro
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2063)

Abstract

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 showthat solving Amazons puzzles is an NP-complete task and determining the winner of simple Amazons endgames is NP-equivalent.

Keywords

Amazons endgame puzzle NP-complete planning 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Michael Buro
    • 1
  1. 1.NEC Research InstitutePrincetonUSA

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