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Showing 1 to 4 of 4 for “"positional games"”.
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Nontraditional Positional Games: New methods and boards for playing Tic-Tac-Toe
… explore variations on Tic-Tac-Toe. We consider positional games played using a new type of move called a hop. A hop involves two parts: move and replace. In a hop the positions occupied by both players will change: one will move a piece to a new position and one will gain a piece in play. We …
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Nontraditional Positional Games: New methods and boards for playing Tic-Tac-Toe
… explore variations on Tic-Tac-Toe. We consider positional games played using a new type of move called a hop. A hop involves two parts: move and replace. In a hop the positions occupied by both players will change: one will move a piece to a new position and one will gain a piece in play. We …
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Combinatorial Problems on the Integers: Colorings, Games, and Permutations
… three colors.</p> <p>We then study Maker-Breaker positional games for equations with fractional powers in Chapter 3. In these games, Maker and Breaker take turns to select a previously unclaimed number in {1, 2, . . . , <em>n</em>}, Maker wins if they can form a solution to a given equation, and …
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Combinatorial Problems with Geometric Flavour
… of the Boolean lattice. Chapter 10 is devoted to positional games. For two graphs $B$ and $H$ the strong Ramsey game $\mathcal{R}(B,H)$ on the board $B$ and with target $H$ is played as follows. Two players alternately claim edges of $B$. The first player to build a copy of $H$ wins. If none of …