Title
Odd and even cycles in Maker-Breaker games
Abstract
Let Maker and Breaker alternately select respectively 1 and q previously unclaimed edges of K"n until all edges have been claimed. In the even cycle game Maker's aim is to create an even cycle. We show that if q=@?n/2@?-1 then Breaker can ensure that Maker's graph is acyclic. We also consider the odd cycle game and show that for q
Year
DOI
Venue
2008
10.1016/j.ejc.2007.02.017
Eur. J. Comb.
Keywords
Field
DocType
cycle game maker,odd cycle game,unclaimed edge,maker-breaker game
Discrete mathematics,Graph,Combinatorics,Circuit breaker,Mathematics
Journal
Volume
Issue
ISSN
29
3
0195-6698
Citations 
PageRank 
References 
2
0.42
1
Authors
2
Name
Order
Citations
PageRank
Małgorzata Bednarska1142.20
Oleg Pikhurko231847.03