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Displaying similar documents to “Domination Game Critical Graphs”

Note On The Game Colouring Number Of Powers Of Graphs

Stephan Dominique Andres, Andrea Theuser (2016)

Discussiones Mathematicae Graph Theory

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We generalize the methods of Esperet and Zhu [6] providing an upper bound for the game colouring number of squares of graphs to obtain upper bounds for the game colouring number of m-th powers of graphs, m ≥ 3, which rely on the maximum degree and the game colouring number of the underlying graph. Furthermore, we improve these bounds in case the underlying graph is a forest.

Colouring game and generalized colouring game on graphs with cut-vertices

Elżbieta Sidorowicz (2010)

Discussiones Mathematicae Graph Theory

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For k ≥ 2 we define a class of graphs 𝓗 ₖ = {G: every block of G has at most k vertices}. The class 𝓗 ₖ contains among other graphs forests, Husimi trees, line graphs of forests, cactus graphs. We consider the colouring game and the generalized colouring game on graphs from 𝓗 ₖ.

Game list colouring of graphs.

Borowiecki, M., Sidorowicz, E., Tuza, Zs. (2007)

The Electronic Journal of Combinatorics [electronic only]

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Permissive strategies : from parity games to safety games

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...

Carcassonne -- description of the game

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.