תקציר
Let m and b be positive integers, and let F be a hypergraph. In an (m, b) Maker-Breaker game F two players, called Maker and Breaker, take turns selecting previously unclaimed vertices of F. Maker selects m vertices per move, and Breaker selects 6 vertices per move. The game ends when every vertex has been claimed by one of the players. Maker wins if he claims all of the vertices of some hyperedge of F; otherwise Breaker wins. An (m, b) Avoider-Enforcer game F is played in a similar way. The only difference is in the determination of the winner: Avoider loses if he claims all of the vertices of some hyperedge of F; otherwise Enforcer loses. In this paper we consider the Maker-Breaker and Avoider-Enforcer versions of the planarity game, the k-colorability game, and the Kt-minor game.
שפה מקורית | אנגלית |
---|---|
עמודים (מ-עד) | 194-212 |
מספר עמודים | 19 |
כתב עת | SIAM Journal on Discrete Mathematics |
כרך | 22 |
מספר גיליון | 1 |
מזהי עצם דיגיטלי (DOIs) | |
סטטוס פרסום | פורסם - 2008 |
פורסם באופן חיצוני | כן |