Abstract
Clobber is a new two-player board game. In this paper, we introduce the 1-player variant Solitaire Clobber where the goal is to remove as many stones as possible from the board by alternating white and black moves. We show that a n stone checkerboard configuration on a single row (or single column) can be reduced to about n/4 stones. For boards with at least two rows and columns, we show that a checkerboard configuration can be reduced to a single stone if and only if the number of stones is not a multiple of three, and otherwise it can be reduced to two stones. But in general it is NP-complete to decide whether an arbitrary Clobber configuration can be reduced to a single stone.
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References
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© 2003 Springer-Verlag Berlin Heidelberg
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Demaine, E.D., Demaine, M.L., Fleischer, R. (2003). Solitaire Clobber. In: Schaeffer, J., Müller, M., Björnsson, Y. (eds) Computers and Games. CG 2002. Lecture Notes in Computer Science, vol 2883. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40031-8_13
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DOI: https://doi.org/10.1007/978-3-540-40031-8_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20545-6
Online ISBN: 978-3-540-40031-8
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