Paper Info
Title
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 an integer 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.
Year
Venue
Keywords
2013
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
Magnus-Derek game,combinatorial games
Field
DocType
Volume
Discrete mathematics,Combinatorics,Division (mathematics),Security token,Mathematics
Journal
15.0
Issue
ISSN
Citations 
3.0
1462-7264
0
PageRank 
References 
Authors
0.34
1
1
Name
Order
Citations
PageRank
Dániel Gerbner14621.61