Publisher DOI: 10.37236/5142
Title: A remark on the tournament game
Language: English
Authors: Clemens, Dennis  
Mikalački, Mirjana 
Keywords: Maker-Breaker; positional games; tournament
Issue Date: 4-Sep-2015
Publisher: EMIS ELibEMS
Source: Electronic Journal of Combinatorics 3 (22): P3.42, 1-18 (2015)
Abstract (english): 
We study the Maker-Breaker tournament game played on the edge set of a given graph G. Two players, Maker and Breaker, claim unclaimed edges of G in turns, while Maker additionally assigns orientations to the edges that she claims. If by the end of the game Maker claims all the edges of a pre-defined goal tournament, she wins the game. Given a tournament Tk on k vertices, we determine the threshold bias for the (1: b) Tk-tournament game on Kn. We also look at the (1: 1) Tk- tournament game played on the edge set of a random graph Gn,p and determine the threshold probability for Maker's win. We compare these games with the clique game and discuss whether a random graph intuition is satisfied.
ISSN: 1077-8926
Journal: The electronic journal of combinatorics 
Institute: Mathematik E-10 
Document Type: Article
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