Carrying umbrellas: An online relocation game on a graph.
Lee, Jae-Ha, Park, Chong-Dae, Chwa, Kyung-Yong (2001)
Journal of Graph Algorithms and Applications
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Lee, Jae-Ha, Park, Chong-Dae, Chwa, Kyung-Yong (2001)
Journal of Graph Algorithms and Applications
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McCurdy, Sarah K., Nowakowski, Richard J. (2005)
Integers
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Julien Bernet, David Janin, Igor Walukiewicz (2002)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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It is proposed to compare strategies in a parity game by comparing the sets of behaviours they allow. For such a game, there may be no winning strategy that encompasses all the behaviours of all winning strategies. It is shown, however, that there always exists a permissive strategy that encompasses all the behaviours of all memoryless strategies. An algorithm for finding such a permissive strategy is presented. Its complexity matches currently known upper bounds for the simpler problem...
Bartnicki, T., Bresar, B., Grytczuk, J., Kovse, M., Miechowicz, Z., Peterin, I. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Albert, Michael H., Grossman, J.P., Nowakowski, Richard J., Wolfe, David (2005)
Integers
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Ferber, Asaf, Hefetz, Dan (2011)
The Electronic Journal of Combinatorics [electronic only]
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Borowiecki, M., Sidorowicz, E., Tuza, Zs. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Przemysław Gordinowicz, Paweł Prałat (2012)
Discussiones Mathematicae Graph Theory
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We consider the one-colour triangle avoidance game. Using a high performance computing network, we showed that the first player can win the game on 16 vertices.
Drummond-Cole, Gabriel C. (2005)
Integers
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dos Santos, Carlos Pereira, Silva, Jorge Nuno (2008)
Integers
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Hogan, M.S., Horrocks, D.G. (2003)
Integers
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Kárná, Lucie
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This article formalizes some aspects of the board game Carcassonne. Combinatorical problems related to the number of tile types are mentioned. Then the paper describes a game map using graph theory.
Cincotti, Alessandro (2009)
Integers
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