An optimal bound on the number of moves for open Mancala

Maurizio Paolini; Alessandro Musesti; Cesco Reale

doi:10.1016/j.disc.2015.04.013

An optimal bound on the number of moves for open Mancala

Maurizio Paolini, Alessandro Musesti, Cesco Reale

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

1 Citazioni (Scopus)

Abstract

We prove the optimal bound for the maximal number of moves required to reach a periodic configuration of open mancala (also called open owari or with other names), inspired by a popular african game. The proof relies on the notion of s-monotonicity, which is a stronger version of the mere monotonicity.

Lingua originale	English
pagine (da-a)	1827-1844
Numero di pagine	18
Rivista	Discrete Mathematics
Volume	338
DOI	https://doi.org/10.1016/j.disc.2015.04.013
Stato di pubblicazione	Pubblicato - 2015

Keywords

discrete dynamical systems
ethnical mathematics

Accesso al documento

10.1016/j.disc.2015.04.013

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AU - Musesti, Alessandro

AU - Reale, Cesco

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AB - We prove the optimal bound for the maximal number of moves required to reach a periodic configuration of open mancala (also called open owari or with other names), inspired by a popular african game. The proof relies on the notion of s-monotonicity, which is a stronger version of the mere monotonicity.

KW - discrete dynamical systems

KW - ethnical mathematics

KW - discrete dynamical systems

KW - ethnical mathematics

UR - http://hdl.handle.net/10807/69648

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DO - 10.1016/j.disc.2015.04.013

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