Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423286 | Discrete Mathematics | 2015 | 18 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Alessandro Musesti, Maurizio Paolini, Cesco Reale,