An optimal bound on the number of moves for open Mancala
Combinatorics
2018-05-03 v2
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
Cite
@article{arxiv.1310.8088,
title = {An optimal bound on the number of moves for open Mancala},
author = {Alessandro Musesti and Maurizio Paolini and Cesco Reale},
journal= {arXiv preprint arXiv:1310.8088},
year = {2018}
}