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» The Winning Ways of Concurrent Games
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JAL
2002
99views more  JAL 2002»
14 years 11 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»
14 years 11 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»
14 years 10 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
15 years 6 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...
78
Voted
SIAMDM
2008
89views more  SIAMDM 2008»
14 years 11 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,...