Dániel Gerbner - The Magnus-Derek game in groups

dmtcs:621 - Discrete Mathematics & Theoretical Computer Science, November 12, 2013, Vol. 15 no. 3 - https://doi.org/10.46298/dmtcs.621
The Magnus-Derek game in groupsArticle

Authors: Dániel Gerbner ORCID1

  • 1 Alfréd Rényi Institute of Mathematics

The Magnus-Derek game (also called the maximal variant of the vector game), introduced by Nedev and Muthukrishnan is the following: a token is moved around a table with n positions. In each round of the game Magnus chooses a number and then Derek chooses a direction (clockwise or counterclockwise), and the token moves that many positions into that direction. The goal of Magnus is to maximize the number of positions visited, the goal of Derek is the opposite. In the minimal variant of the game the goals of the two players are exchanged: Magnus wants to minimize the number of positions visited and Derek wants the opposite. Here we introduce a generalization of these games: the token is moved in a group, Magnus chooses an element of the group and Derek decides if the current position is multiplied or divided by that element.

Volume: Vol. 15 no. 3
Section: Combinatorics
Published on: November 12, 2013
Accepted on: June 9, 2015
Submitted on: September 20, 2011
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

Consultation statistics

This page has been seen 330 times.
This article's PDF has been downloaded 268 times.