Skip to Main content Skip to Navigation
Journal articles

The Magnus-Derek game in groups

Abstract : 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [6 references]  Display  Hide  Download

https://hal.inria.fr/hal-00965706
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Tuesday, March 25, 2014 - 3:28:05 PM
Last modification on : Tuesday, November 26, 2019 - 4:12:08 PM
Long-term archiving on: : Wednesday, June 25, 2014 - 12:41:34 PM

File

2034-8414-1-PB.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00965706, version 1

Collections

Citation

Dániel Gerbner. The Magnus-Derek game in groups. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2013, Vol. 15 no. 3 (3), pp.119--126. ⟨hal-00965706⟩

Share

Metrics

Record views

186

Files downloads

884