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» The Winning Ways of Concurrent Games
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JAL
2002
99views more  JAL 2002»
13 years 7 months ago
Kayles and Nimbers
Kayles is a combinatorial game on graphs. Two players select alternatingly a vertex from a given graph G - a chosen vertex may not be adjacent or equal to an already chosen vertex...
Hans L. Bodlaender, Dieter Kratsch
CORR
2008
Springer
154views Education» more  CORR 2008»
13 years 7 months ago
Best-Effort Strategies for Losing States
We consider games played on finite graphs, whose goal is to obtain a trace belonging to a given set of winning traces. We focus on those states from which Player 1 cannot force a w...
Marco Faella
JCT
2010
109views more  JCT 2010»
13 years 5 months ago
Avoider-Enforcer: The rules of the game
An Avoider-Enforcer game is played by two players, called Avoider and Enforcer, on a hypergraph F ⊆ 2X . The players claim previously unoccupied elements of the board X in turns...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...
MFCS
2009
Springer
14 years 1 months ago
Stochastic Games with Finitary Objectives
Abstract. The synthesis of a reactive system with respect to an ωregular specification requires the solution of a graph game. Such games have been extended in two natural ways. F...
Krishnendu Chatterjee, Thomas A. Henzinger, Floria...
SIAMDM
2008
89views more  SIAMDM 2008»
13 years 7 months ago
Planarity, Colorability, and Minor Games
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 vert...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...