Solitaire Clobber
نویسندگان
چکیده
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 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.
منابع مشابه
A survey of Solitaire Clobber
Solitaire Clobber is a one-player variant of the 2-player board game Clobber introduced by Albert et al. in 2002. According to simple rules, the objective of Solitaire Clobber is to capture the maximum number of stones from a given graph. Two versions of Solitaire Clobber were recently investigated: a partisan and an impartial one. In this survey, we give an overview of the major results about ...
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Clobber is a new two-player board game. In this paper, we introduce the oneplayer 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 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 two columns, we show that a ch...
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