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Large Peg-Army Maneuvers | | Luciano Gualà
; Stefano Leucci
; Emanuele Natale
; Roberto Tauraso
; | | Date: |
2 Mar 2016 | | Abstract: | Despite its long history, the classical game of peg solitaire continues to
attract the attention of the scientific community. In this paper, we consider
two problems with an algorithmic flavour which are related with this game,
namely Solitaire-Reachability and Solitaire-Army. In the first one, we show
that deciding whether there is a sequence of jumps which allows a given initial
configuration of pegs to reach a target position is NP-complete. Regarding
Solitaire-Army, the aim is to successfully deploy an army of pegs in a given
region of the board in order to reach a target position. By solving an
auxiliary problem with relaxed constraints, we are able to answer some open
questions raised by Cs’ak’any and Juh’asz (Mathematics Magazine, 2000). | | Source: | arXiv, 1603.0898 | | Services: | Forum | Review | PDF | Favorites | |
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