An optimal bound on the number of moves for open Mancala

21 Apr 2015  ·  Musesti Alessandro, Paolini Maurizio, Reale Cesco ·

We determine the optimal bound for the maximum number of moves required to reach a periodic configuration of open mancala (also called open owari), inspired by a popular African game. A mancala move can be interpreted as a map from the set of compositions of a given integer in itself, thus relating our result to the study of the corresponding finite dynamical system...

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Combinatorics