Kayles on the Way to the Stars

  • Rudolf Fleischer
  • Gerhard Trippen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3846)


We present several new results on the impartial two-person game Kayles. The original version is played on a row of pins (“kayles”). We investigate variants of the game played on graphs. We solve a previously stated open problem in proving that determining the value of a game position needs only polynomial time in a star of bounded degree, and therefore finding the winning move – if one exists – can be done in linear time based on the data calculated before.


Polynomial Time Periodic Sequence Single Vertex Simple Path Center Vertex 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Rudolf Fleischer
    • 1
  • Gerhard Trippen
    • 2
  1. 1.Shanghai Key Laboratory of Intelligent Information Processing, Department of Computer Science and EngineeringFudan UniversityShanghaiChina
  2. 2.Department of Computer ScienceThe Hong Kong University of Science and TechnologyHong Kong

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