Abstract
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.
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© 2006 Springer-Verlag Berlin Heidelberg
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Fleischer, R., Trippen, G. (2006). Kayles on the Way to the Stars. In: van den Herik, H.J., Björnsson, Y., Netanyahu, N.S. (eds) Computers and Games. CG 2004. Lecture Notes in Computer Science, vol 3846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11674399_16
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DOI: https://doi.org/10.1007/11674399_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32488-1
Online ISBN: 978-3-540-32489-8
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