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Ice sliding games
by
Dorbec, Paul
, Moncel, Julien
, Duchêne, Éric
, Parreau, Aline
, Sopena, Éric
, Fabbri, André
in
Game theory
/ Games
/ Robots
/ Sliding
/ Toruses
/ Variants
/ Walls
2018
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Do you wish to request the book?
Ice sliding games
by
Dorbec, Paul
, Moncel, Julien
, Duchêne, Éric
, Parreau, Aline
, Sopena, Éric
, Fabbri, André
in
Game theory
/ Games
/ Robots
/ Sliding
/ Toruses
/ Variants
/ Walls
2018
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Journal Article
Ice sliding games
2018
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Overview
This paper deals with sliding games, which are a variant of the better known pushpush game. On a given structure (grid, torus...), a robot can move in a specific set of directions, and stops when it hits a block or boundary of the structure. The objective is to place the minimum number of blocks such that the robot can visit all the possible positions of the structure. In particular, we give the exact value of this number when playing on a rectangular grid and a torus. Other variants of this game are also considered, by constraining the robot to stop on each case, or by replacing blocks by walls.
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